GCD of 975, 760, 137 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 975, 760, 137 quickly. Get the easiest ways to solve the greatest common divisor of 975, 760, 137 i.e 1 in different methods as follows.
Given Input numbers are 975, 760, 137
In the factoring method, we have to find the divisors of all numbers
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
GCD of numbers is the greatest common divisor
So, the GCD (975, 760, 137) = 1.
Given numbers are 975, 760, 137
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 137 are 137
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 975, 760, 137 using LCM Formula
Given numbers are 975, 760, 137
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 760) = 148200
GCD(975, 760) = ( 975 x 760 ) / 148200
= 975 / 760
= 975
Step2:
LCM(5, 137) = 685
GCD(5, 137) = ( 5 x 137 ) / 685
= 5 / 137
= 5
So, Greatest Common Divisor of 975, 760, 137 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 975, 760, 137
Given numbers are 975, 760, 137
The greatest common divisor of numbers 975, 760, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 760, 137 is 1.
FAQs on GCD of 975, 760, 137 Calculator
1. What is the GCD of 975, 760, 137?
GCD of given numbers 975, 760, 137 is 1
2. How to calculate the greatest common divisor of 975, 760, 137?
We can find the highest common divisor of 975, 760, 137 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 975, 760, 137 i.e 1.
3. How can I use the GCD of 975, 760, 137Calculator?
Out the numbers 975, 760, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.