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GCD of 642, 197, 138, 224 Calculator

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


Online GCD Calculator is useful to find the GCD of 642, 197, 138, 224 quickly. Get the easiest ways to solve the greatest common divisor of 642, 197, 138, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 642, 197, 138, 224 with Factoring?

Given Input numbers are 642, 197, 138, 224

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (642, 197, 138, 224) = 1.

Find GCD of 642, 197, 138, 224 using Prime Factorization

Given numbers are 642, 197, 138, 224

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 197 are 197

Prime factors of 138 are 2 x 3 x 23

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 642, 197, 138, 224 using LCM Formula

Given numbers are 642, 197, 138, 224

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

Apply this formula for all numbers.

Step1:

LCM(642, 197) = 126474

GCD(642, 197) = ( 642 x 197 ) / 126474

= 642 / 197

= 642


Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1


So, Greatest Common Divisor of 642, 197, 138, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 642, 197, 138, 224

Given numbers are 642, 197, 138, 224
The greatest common divisor of numbers 642, 197, 138, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 197, 138, 224 is 1.

FAQs on GCD of 642, 197, 138, 224 Calculator

1. What is the GCD of 642, 197, 138, 224?

GCD of given numbers 642, 197, 138, 224 is 1


2. How to calculate the greatest common divisor of 642, 197, 138, 224?

We can find the highest common divisor of 642, 197, 138, 224 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 642, 197, 138, 224 i.e 1.


3. How can I use the GCD of 642, 197, 138, 224Calculator?

Out the numbers 642, 197, 138, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.