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Highest common factor
Mathsboy100   5
N Nov 16, 2024 by engineer48
Three number are in the ratio of \[ 3:4:5\]and
their L.C.M is 2400.Their H.C.F is
5 replies
Mathsboy100
Nov 15, 2024
engineer48
Nov 16, 2024
Highest common factor
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Mathsboy100
44 posts
#1
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Three number are in the ratio of \[ 3:4:5\]and
their L.C.M is 2400.Their H.C.F is
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AbhayAttarde01
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LCM of $3,4,5$ is equal to $60$. then we divide $\frac{2400}{60}=40$, which means we multiply the ratio by $40$, so the numbers are $120,160,200$. The gcf would be $\boxed{40}$
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engineer48
814 posts
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AbhayAttarde01 wrote:
LCM of $3,4,5$ is equal to $60$. then we divide $\frac{2400}{60}=40$, which means we multiply the ratio by $40$, so the numbers are $120,160,200$. The gcf would be $\boxed{40}$

check 60 again
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Mathsboy100
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#5
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Pls explain in details i do appreciate the solution
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Yiyj1
1005 posts
#7
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engineer48 wrote:
AbhayAttarde01 wrote:
LCM of $3,4,5$ is equal to $60$. then we divide $\frac{2400}{60}=40$, which means we multiply the ratio by $40$, so the numbers are $120,160,200$. The gcf would be $\boxed{40}$

check 60 again

there is no problem. $\text{lcm}(3, 4, 5)=3 \cdot 4 \cdot 5 = 60$ because they are relatively prime
Mathsboy100 wrote:
Pls explain in details i do appreciate the solution

I'll try

Solution
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engineer48
814 posts
#8
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oh sorry i d.c. it again
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