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GCD of 131, 584, 749, 775 Calculator

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


Online GCD Calculator is useful to find the GCD of 131, 584, 749, 775 quickly. Get the easiest ways to solve the greatest common divisor of 131, 584, 749, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 131, 584, 749, 775 with Factoring?

Given Input numbers are 131, 584, 749, 775

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

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (131, 584, 749, 775) = 1.

Find GCD of 131, 584, 749, 775 using Prime Factorization

Given numbers are 131, 584, 749, 775

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 749 are 7 x 107

Prime factors of 775 are 5 x 5 x 31

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

Steps to Calculate GCD of 131, 584, 749, 775 using LCM Formula

Given numbers are 131, 584, 749, 775

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

Apply this formula for all numbers.

Step1:

LCM(131, 584) = 76504

GCD(131, 584) = ( 131 x 584 ) / 76504

= 131 / 584

= 131


Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1


Step3:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1


So, Greatest Common Divisor of 131, 584, 749, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 131, 584, 749, 775

Given numbers are 131, 584, 749, 775
The greatest common divisor of numbers 131, 584, 749, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 584, 749, 775 is 1.

FAQs on GCD of 131, 584, 749, 775 Calculator

1. What is the GCD of 131, 584, 749, 775?

GCD of given numbers 131, 584, 749, 775 is 1


2. How to calculate the greatest common divisor of 131, 584, 749, 775?

We can find the highest common divisor of 131, 584, 749, 775 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 131, 584, 749, 775 i.e 1.


3. How can I use the GCD of 131, 584, 749, 775Calculator?

Out the numbers 131, 584, 749, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.