Question

find the greatest number which divides 1478, 2703 and 4052 leaving reminders 8, 15, and 20, respectivly

Answer 1

The number would be equal to the H.C.F of (1478+8), (2703+15) and (4052+20) = 2

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Answer 2

Answer:  42

Step-by-step explanation: first subtract the numbers:

1478-8=1470

2703-15=2688

4052-20=4032

now find the HCF of 1470,2688 and 4032

4032=2688*1+1344

2688=1344*2+1

1470=1344*1+126

1344=126*10+84

126=84*1+42

84=42*2+0

next,

1470=42*35+0

Hence,the greatest number which divides 1478, 2703, and 4052 leaving remainder  8, 15, and 20 respectively is 42

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