Question

find the largest number that will divide 789, 861 and 1069 leaving remainders 7, 11 and 15 respectively​

Answer 1

Largest number to divide can otherwise be explained as HCF

Since remainders are present we will subtract it from the numbers

Therefore

789-7= 782
861-11= 850
1069-15= 1054


HCF of these 3 no’s are 2*17= 34

Answer 2

Answer:

=34

Step-by-step explanation:

Subtracting the 7,11 and 15 from 789,861 and 1069 respectively​

789-7=782

861-11=850

1069-15=1054

Now Taking factors of 782,850 and 1054

as per attachment

782 =2 x 17 x 23

850=2 x 5x 5 x 17

1054=2 x 17 x 31

Hence HCF of 782,850 and 1054 will be

=2x17=34

Therefore largest number that will divide 789, 861 and 1069 leaving remainders 7, 11 and 15 respectively​

=34

782