Find the greatest number that will divide 39,52,and 65, leaving remainder 3,4,and 5 respectively.
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Answer:
numbers exactly divisible are
39-3=36
52-4=48
65-5=60
greatest number dividing them=HCF of these 3 numbers
2|36. 2|48. 2|60
2|18. 2|24. 2|30
3|9. 2|12. 3|15
3|3. 2|6. 5|5
|1. 3|3. |1.
|1
36=2×2×3×3
48=2×2×2×2×3
60=2×2×3×5
HCF=2×2×3
=12
12 us the greatest number that divides 39,52, and 65 and leaves reminder 3,4, and 5
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