GCD of 200, 429, 31, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 200, 429, 31, 138 quickly. Get the easiest ways to solve the greatest common divisor of 200, 429, 31, 138 i.e 1 in different methods as follows.
Given Input numbers are 200, 429, 31, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (200, 429, 31, 138) = 1.
Given numbers are 200, 429, 31, 138
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 429 are 3 x 11 x 13
Prime factors of 31 are 31
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 200, 429, 31, 138 using LCM Formula
Given numbers are 200, 429, 31, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 429) = 85800
GCD(200, 429) = ( 200 x 429 ) / 85800
= 200 / 429
= 200
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 200, 429, 31, 138 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 200, 429, 31, 138
Given numbers are 200, 429, 31, 138
The greatest common divisor of numbers 200, 429, 31, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 429, 31, 138 is 1.
FAQs on GCD of 200, 429, 31, 138 Calculator
1. What is the GCD of 200, 429, 31, 138?
GCD of given numbers 200, 429, 31, 138 is 1
2. How to calculate the greatest common divisor of 200, 429, 31, 138?
We can find the highest common divisor of 200, 429, 31, 138 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 200, 429, 31, 138 i.e 1.
3. How can I use the GCD of 200, 429, 31, 138Calculator?
Out the numbers 200, 429, 31, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.