GCD of 119, 747, 31, 872 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 119, 747, 31, 872 quickly. Get the easiest ways to solve the greatest common divisor of 119, 747, 31, 872 i.e 1 in different methods as follows.
Given Input numbers are 119, 747, 31, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (119, 747, 31, 872) = 1.
Given numbers are 119, 747, 31, 872
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 747 are 3 x 3 x 83
Prime factors of 31 are 31
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 119, 747, 31, 872 using LCM Formula
Given numbers are 119, 747, 31, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 747) = 88893
GCD(119, 747) = ( 119 x 747 ) / 88893
= 119 / 747
= 119
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 119, 747, 31, 872 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 119, 747, 31, 872
Given numbers are 119, 747, 31, 872
The greatest common divisor of numbers 119, 747, 31, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 747, 31, 872 is 1.
FAQs on GCD of 119, 747, 31, 872 Calculator
1. What is the GCD of 119, 747, 31, 872?
GCD of given numbers 119, 747, 31, 872 is 1
2. How to calculate the greatest common divisor of 119, 747, 31, 872?
We can find the highest common divisor of 119, 747, 31, 872 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 119, 747, 31, 872 i.e 1.
3. How can I use the GCD of 119, 747, 31, 872Calculator?
Out the numbers 119, 747, 31, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.