The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively
Answers
Answer:
13 is the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively
Step-by-step explanation:
The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively :
largest number that divides two numbers = HCF
let's take HCF = x
70/x leaves remainder 5
125/x leaves remainder 8
70-5 = 65
125- 8 = 117
70/x = no remainder
117/x = no remainder
HCF of 65 , 117 = 13
The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is 13
GIVEN:-
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively.
FIND:-
What is the number = ?
SOLUTION:-
Here,
when the number divides 70 leaves remainder as 5. So, 70-5 = 65
and
when the number divides 125 leaves remainder as 8. So, 125 - 8 = 117
Now, let us find the HCF of 65 and 117.
Since, 117>65
Hence, remainder is become 0.
Thus, 13 is the HCF of 65 and 117.
Hence, is the required no. which divides 70 and 125 leaving remainder 5 and 8 respectively.