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Find the least number that divides 626, 3127 and 15628 leaving remainders 1, 2 and 3. |
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Answer» Answer: Step-by-step explanation: 626 , 3127 and 15628 leaves remainders 1,2 and 3 So,we have to SUBTRACT the following number with their remainders respectively (1) 626-1=625 (2) 3127-2=3125 (3) 15628-3=15625 Now, we have to find the HCF of thes following RESULTANT number 1) 625=5×5×5×5 2) 3125=5×5×5×5×5 3) 15625=5×5×5×5×5×5 The HCF = 5×5×5×5 = 625 So, the least number that divides the following number is 625. |
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