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GCD of 137, 671, 412, 100 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 137, 671, 412, 100 quickly. Get the easiest ways to solve the greatest common divisor of 137, 671, 412, 100 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 137, 671, 412, 100 with Factoring?

Given Input numbers are 137, 671, 412, 100

In the factoring method, we have to find the divisors of all numbers

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100


GCD of numbers is the greatest common divisor

So, the GCD (137, 671, 412, 100) = 1.

Find GCD of 137, 671, 412, 100 using Prime Factorization

Given numbers are 137, 671, 412, 100

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 671 are 11 x 61

Prime factors of 412 are 2 x 2 x 103

Prime factors of 100 are 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 137, 671, 412, 100 using LCM Formula

Given numbers are 137, 671, 412, 100

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(137, 671) = 91927

GCD(137, 671) = ( 137 x 671 ) / 91927

= 137 / 671

= 137


Step2:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1


Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1


So, Greatest Common Divisor of 137, 671, 412, 100 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 137, 671, 412, 100

Given numbers are 137, 671, 412, 100
The greatest common divisor of numbers 137, 671, 412, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 671, 412, 100 is 1.

FAQs on GCD of 137, 671, 412, 100 Calculator

1. What is the GCD of 137, 671, 412, 100?

GCD of given numbers 137, 671, 412, 100 is 1


2. How to calculate the greatest common divisor of 137, 671, 412, 100?

We can find the highest common divisor of 137, 671, 412, 100 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 137, 671, 412, 100 i.e 1.


3. How can I use the GCD of 137, 671, 412, 100Calculator?

Out the numbers 137, 671, 412, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.