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Answer:
To find the solution to this question, we simply need to follow the steps that have been stated below:-
Firstly, deduct the remainders specified in the question itself from their respective numbers.
Then, work out the factors of each resulting number that we got above by deducting the given remainders.
And then ultimately, find the HCF (Highest Common Factor) of those resulting numbers which will be your final answer.
Here is the detailed step by step solution to this question which will be super convenient for your ease of understanding to make you capable of performing the similar questions faced in the future:-
Firstly, subtract the remainders from their respective numbers as follows:
On subtracting 70 from its remainder, we get 70 – 5 =65
On subtracting 125 from its remainder, we get 125 – 8 = 117
Then, take out the factorisation of these numbers (65 and 117) and write down the resulting factors as follows:
The resulting factors of 65 = 5 * 13
The resulting factors of 117 = 3 * 3*13
Now, in the final step so as to reach the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, work out the HCF (Highest Common Factor) of 65 and 117 as follows:
65 = 5 * 13
117 = 3 * 3*13
So, we can see from the above factorisation that the Highest Common Factor of the numbers 65 and 117 is 13.
Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively.
Also see: In Indian Rupees, 1 Trillion Is Equal To How Many Crores?
