GCD of 970, 360, 640 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 970, 360, 640 quickly. Get the easiest ways to solve the greatest common divisor of 970, 360, 640 i.e 10 in different methods as follows.
Given Input numbers are 970, 360, 640
In the factoring method, we have to find the divisors of all numbers
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (970, 360, 640) = 10.
Given numbers are 970, 360, 640
The list of prime factors of all numbers are
Prime factors of 970 are 2 x 5 x 97
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 970, 360, 640 is 10.
Steps to Calculate GCD of 970, 360, 640 using LCM Formula
Given numbers are 970, 360, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(970, 360) = 34920
GCD(970, 360) = ( 970 x 360 ) / 34920
= 970 / 360
= 970
Step2:
LCM(10, 640) = 640
GCD(10, 640) = ( 10 x 640 ) / 640
= 10 / 640
= 10
So, Greatest Common Divisor of 970, 360, 640 is 10
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 970, 360, 640
Given numbers are 970, 360, 640
The greatest common divisor of numbers 970, 360, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 360, 640 is 10.
FAQs on GCD of 970, 360, 640 Calculator
1. What is the GCD of 970, 360, 640?
GCD of given numbers 970, 360, 640 is 10
2. How to calculate the greatest common divisor of 970, 360, 640?
We can find the highest common divisor of 970, 360, 640 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 970, 360, 640 i.e 10.
3. How can I use the GCD of 970, 360, 640Calculator?
Out the numbers 970, 360, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.