Question

The greatest number that will exactly divide 840 and 2296

Answer 1

Answer:

• 56

Step-by-step explanation:

Greatest no. means HCF

USING EUCLID'S DIVISION LEMMA

2296=840×2+616

840=616×1+224

616=224×2+168

224=168×1+56

168=56×3+0

Therefore, HCF(2296,840)= 56

Answer 2

Greatest no. that will exactly divide 840 and 2296 is nothing but its HCF.

2 | 840 ,2296

2 | 420 ,1148

2 | 210 , 574

7 | 105 , 287

| 15 , 41

Hence, HCF = 2×2×2×7 = 56

Hope it helps!!! :)