Question

Find the greatest number that will divide 194 and 300 leaving remainder 12 and 6 respectively. solve in details​

Answer 1

Answer:

Step-by-step explanation:

For a number to divide a number exactly we should subtract the remainder from it

So, 194-12= 182 and 300-6= 294

Now HCF of 182 and 294

182= 2*7*13

294= 2*3*7*7

Here 2 and 7 are common so HCF is 2*7= 14

Therefore 14 is the largest no. which divides 194 and 300 leaving remainder 12 and 6 respectively.