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GCD of 116, 972, 258, 201 Calculator

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


Online GCD Calculator is useful to find the GCD of 116, 972, 258, 201 quickly. Get the easiest ways to solve the greatest common divisor of 116, 972, 258, 201 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 116, 972, 258, 201 with Factoring?

Given Input numbers are 116, 972, 258, 201

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201


GCD of numbers is the greatest common divisor

So, the GCD (116, 972, 258, 201) = 1.

Find GCD of 116, 972, 258, 201 using Prime Factorization

Given numbers are 116, 972, 258, 201

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 258 are 2 x 3 x 43

Prime factors of 201 are 3 x 67

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

Steps to Calculate GCD of 116, 972, 258, 201 using LCM Formula

Given numbers are 116, 972, 258, 201

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

Apply this formula for all numbers.

Step1:

LCM(116, 972) = 28188

GCD(116, 972) = ( 116 x 972 ) / 28188

= 116 / 972

= 116


Step2:

LCM(4, 258) = 516

GCD(4, 258) = ( 4 x 258 ) / 516

= 4 / 258

= 4


Step3:

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

= 2 / 201

= 2


So, Greatest Common Divisor of 116, 972, 258, 201 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 116, 972, 258, 201

Given numbers are 116, 972, 258, 201
The greatest common divisor of numbers 116, 972, 258, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 972, 258, 201 is 1.

FAQs on GCD of 116, 972, 258, 201 Calculator

1. What is the GCD of 116, 972, 258, 201?

GCD of given numbers 116, 972, 258, 201 is 1


2. How to calculate the greatest common divisor of 116, 972, 258, 201?

We can find the highest common divisor of 116, 972, 258, 201 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 116, 972, 258, 201 i.e 1.


3. How can I use the GCD of 116, 972, 258, 201Calculator?

Out the numbers 116, 972, 258, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.