GCD of 968, 688, 632 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 968, 688, 632 quickly. Get the easiest ways to solve the greatest common divisor of 968, 688, 632 i.e 8 in different methods as follows.
Given Input numbers are 968, 688, 632
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
GCD of numbers is the greatest common divisor
So, the GCD (968, 688, 632) = 8.
Given numbers are 968, 688, 632
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 632 are 2 x 2 x 2 x 79
The highest common occurrence is 23
Therefore, GCD of 968, 688, 632 is 8.
Steps to Calculate GCD of 968, 688, 632 using LCM Formula
Given numbers are 968, 688, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 688) = 83248
GCD(968, 688) = ( 968 x 688 ) / 83248
= 968 / 688
= 968
Step2:
LCM(8, 632) = 632
GCD(8, 632) = ( 8 x 632 ) / 632
= 8 / 632
= 8
So, Greatest Common Divisor of 968, 688, 632 is 8
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 968, 688, 632
Given numbers are 968, 688, 632
The greatest common divisor of numbers 968, 688, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 688, 632 is 8.
FAQs on GCD of 968, 688, 632 Calculator
1. What is the GCD of 968, 688, 632?
GCD of given numbers 968, 688, 632 is 8
2. How to calculate the greatest common divisor of 968, 688, 632?
We can find the highest common divisor of 968, 688, 632 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 968, 688, 632 i.e 8.
3. How can I use the GCD of 968, 688, 632Calculator?
Out the numbers 968, 688, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.