GCD of 108, 977, 64, 245 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 108, 977, 64, 245 quickly. Get the easiest ways to solve the greatest common divisor of 108, 977, 64, 245 i.e 1 in different methods as follows.
Given Input numbers are 108, 977, 64, 245
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
Divisors of 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
GCD of numbers is the greatest common divisor
So, the GCD (108, 977, 64, 245) = 1.
Given numbers are 108, 977, 64, 245
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 977 are 977
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 245 are 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 108, 977, 64, 245 using LCM Formula
Given numbers are 108, 977, 64, 245
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 977) = 105516
GCD(108, 977) = ( 108 x 977 ) / 105516
= 108 / 977
= 108
Step2:
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
= 1 / 64
= 1
Step3:
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
= 1 / 245
= 1
So, Greatest Common Divisor of 108, 977, 64, 245 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 108, 977, 64, 245
Given numbers are 108, 977, 64, 245
The greatest common divisor of numbers 108, 977, 64, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 977, 64, 245 is 1.
FAQs on GCD of 108, 977, 64, 245 Calculator
1. What is the GCD of 108, 977, 64, 245?
GCD of given numbers 108, 977, 64, 245 is 1
2. How to calculate the greatest common divisor of 108, 977, 64, 245?
We can find the highest common divisor of 108, 977, 64, 245 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 108, 977, 64, 245 i.e 1.
3. How can I use the GCD of 108, 977, 64, 245Calculator?
Out the numbers 108, 977, 64, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.