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GCD of 316, 649, 138, 871 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 649, 138, 871 quickly. Get the easiest ways to solve the greatest common divisor of 316, 649, 138, 871 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 649, 138, 871 with Factoring?

Given Input numbers are 316, 649, 138, 871

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 138 :

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

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871


GCD of numbers is the greatest common divisor

So, the GCD (316, 649, 138, 871) = 1.

Find GCD of 316, 649, 138, 871 using Prime Factorization

Given numbers are 316, 649, 138, 871

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 649 are 11 x 59

Prime factors of 138 are 2 x 3 x 23

Prime factors of 871 are 13 x 67

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

Steps to Calculate GCD of 316, 649, 138, 871 using LCM Formula

Given numbers are 316, 649, 138, 871

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

Apply this formula for all numbers.

Step1:

LCM(316, 649) = 205084

GCD(316, 649) = ( 316 x 649 ) / 205084

= 316 / 649

= 316


Step2:

LCM(1, 138) = 138

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

= 1 / 138

= 1


Step3:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1


So, Greatest Common Divisor of 316, 649, 138, 871 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 649, 138, 871

Given numbers are 316, 649, 138, 871
The greatest common divisor of numbers 316, 649, 138, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 649, 138, 871 is 1.

FAQs on GCD of 316, 649, 138, 871 Calculator

1. What is the GCD of 316, 649, 138, 871?

GCD of given numbers 316, 649, 138, 871 is 1


2. How to calculate the greatest common divisor of 316, 649, 138, 871?

We can find the highest common divisor of 316, 649, 138, 871 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 316, 649, 138, 871 i.e 1.


3. How can I use the GCD of 316, 649, 138, 871Calculator?

Out the numbers 316, 649, 138, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.