what is thegreatest possible length which can be used exactly the length 7m, 3m85cm and 12m95cm?
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The three given lengths are 7m 700cm 3m 85cm 385cm and 12m 95m 1295cm.
∵1m = 100cm.
∴ Required length = HCF 700 385 1295
Prime factorization: 700 = 2 × 2 × 5 × 5 × 7 = 22 × 52 × 7 385 = 5 × 7 ×11 1295 = 5 × 7 × 37
∴HCF = 5 × 7 = 35
Hence the greatest possible length is 35cm.
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