Three numbers are in ratio 3 4 5 and their lcm is 2400. Their hcf is
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Let the three numbers be 3x, 4x and 5x.
3x × 4x × 5x = 2400
60x = 2400
x = 2400/60
x = 40
3x = 3×40=120
4x = 4×40=160
5x = 5×40=200
HCF of 120, 160 and 200 is 40.
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