GCD of 431, 121, 19, 972 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 431, 121, 19, 972 quickly. Get the easiest ways to solve the greatest common divisor of 431, 121, 19, 972 i.e 1 in different methods as follows.
Given Input numbers are 431, 121, 19, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 19 :
The positive integer divisors of 19 that completely divides 19 are.
1, 19
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (431, 121, 19, 972) = 1.
Given numbers are 431, 121, 19, 972
The list of prime factors of all numbers are
Prime factors of 431 are 431
Prime factors of 121 are 11 x 11
Prime factors of 19 are 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 431, 121, 19, 972 using LCM Formula
Given numbers are 431, 121, 19, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(431, 121) = 52151
GCD(431, 121) = ( 431 x 121 ) / 52151
= 431 / 121
= 431
Step2:
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
= 1 / 19
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 431, 121, 19, 972 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 431, 121, 19, 972
Given numbers are 431, 121, 19, 972
The greatest common divisor of numbers 431, 121, 19, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 121, 19, 972 is 1.
FAQs on GCD of 431, 121, 19, 972 Calculator
1. What is the GCD of 431, 121, 19, 972?
GCD of given numbers 431, 121, 19, 972 is 1
2. How to calculate the greatest common divisor of 431, 121, 19, 972?
We can find the highest common divisor of 431, 121, 19, 972 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 431, 121, 19, 972 i.e 1.
3. How can I use the GCD of 431, 121, 19, 972Calculator?
Out the numbers 431, 121, 19, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.