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GCD of 271, 100, 147, 572 Calculator

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


Online GCD Calculator is useful to find the GCD of 271, 100, 147, 572 quickly. Get the easiest ways to solve the greatest common divisor of 271, 100, 147, 572 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 271, 100, 147, 572 with Factoring?

Given Input numbers are 271, 100, 147, 572

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

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 100 :

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

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572


GCD of numbers is the greatest common divisor

So, the GCD (271, 100, 147, 572) = 1.

Find GCD of 271, 100, 147, 572 using Prime Factorization

Given numbers are 271, 100, 147, 572

The list of prime factors of all numbers are

Prime factors of 271 are 271

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 572 are 2 x 2 x 11 x 13

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

Steps to Calculate GCD of 271, 100, 147, 572 using LCM Formula

Given numbers are 271, 100, 147, 572

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

Apply this formula for all numbers.

Step1:

LCM(271, 100) = 27100

GCD(271, 100) = ( 271 x 100 ) / 27100

= 271 / 100

= 271


Step2:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


Step3:

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

= 1 / 572

= 1


So, Greatest Common Divisor of 271, 100, 147, 572 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 271, 100, 147, 572

Given numbers are 271, 100, 147, 572
The greatest common divisor of numbers 271, 100, 147, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 100, 147, 572 is 1.

FAQs on GCD of 271, 100, 147, 572 Calculator

1. What is the GCD of 271, 100, 147, 572?

GCD of given numbers 271, 100, 147, 572 is 1


2. How to calculate the greatest common divisor of 271, 100, 147, 572?

We can find the highest common divisor of 271, 100, 147, 572 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 271, 100, 147, 572 i.e 1.


3. How can I use the GCD of 271, 100, 147, 572Calculator?

Out the numbers 271, 100, 147, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.