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GCD of 749, 700, 264, 591 Calculator

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


Online GCD Calculator is useful to find the GCD of 749, 700, 264, 591 quickly. Get the easiest ways to solve the greatest common divisor of 749, 700, 264, 591 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 749, 700, 264, 591 with Factoring?

Given Input numbers are 749, 700, 264, 591

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

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591


GCD of numbers is the greatest common divisor

So, the GCD (749, 700, 264, 591) = 1.

Find GCD of 749, 700, 264, 591 using Prime Factorization

Given numbers are 749, 700, 264, 591

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 591 are 3 x 197

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

Steps to Calculate GCD of 749, 700, 264, 591 using LCM Formula

Given numbers are 749, 700, 264, 591

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

Apply this formula for all numbers.

Step1:

LCM(749, 700) = 74900

GCD(749, 700) = ( 749 x 700 ) / 74900

= 749 / 700

= 749


Step2:

LCM(7, 264) = 1848

GCD(7, 264) = ( 7 x 264 ) / 1848

= 7 / 264

= 7


Step3:

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

= 1 / 591

= 1


So, Greatest Common Divisor of 749, 700, 264, 591 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 749, 700, 264, 591

Given numbers are 749, 700, 264, 591
The greatest common divisor of numbers 749, 700, 264, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 700, 264, 591 is 1.

FAQs on GCD of 749, 700, 264, 591 Calculator

1. What is the GCD of 749, 700, 264, 591?

GCD of given numbers 749, 700, 264, 591 is 1


2. How to calculate the greatest common divisor of 749, 700, 264, 591?

We can find the highest common divisor of 749, 700, 264, 591 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 749, 700, 264, 591 i.e 1.


3. How can I use the GCD of 749, 700, 264, 591Calculator?

Out the numbers 749, 700, 264, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.