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GCD of 675, 921, 264, 892 Calculator

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


Online GCD Calculator is useful to find the GCD of 675, 921, 264, 892 quickly. Get the easiest ways to solve the greatest common divisor of 675, 921, 264, 892 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 675, 921, 264, 892 with Factoring?

Given Input numbers are 675, 921, 264, 892

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892


GCD of numbers is the greatest common divisor

So, the GCD (675, 921, 264, 892) = 1.

Find GCD of 675, 921, 264, 892 using Prime Factorization

Given numbers are 675, 921, 264, 892

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 921 are 3 x 307

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

Prime factors of 892 are 2 x 2 x 223

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

Steps to Calculate GCD of 675, 921, 264, 892 using LCM Formula

Given numbers are 675, 921, 264, 892

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

Apply this formula for all numbers.

Step1:

LCM(675, 921) = 207225

GCD(675, 921) = ( 675 x 921 ) / 207225

= 675 / 921

= 675


Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3


Step3:

LCM(3, 892) = 2676

GCD(3, 892) = ( 3 x 892 ) / 2676

= 3 / 892

= 3


So, Greatest Common Divisor of 675, 921, 264, 892 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 675, 921, 264, 892

Given numbers are 675, 921, 264, 892
The greatest common divisor of numbers 675, 921, 264, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 921, 264, 892 is 1.

FAQs on GCD of 675, 921, 264, 892 Calculator

1. What is the GCD of 675, 921, 264, 892?

GCD of given numbers 675, 921, 264, 892 is 1


2. How to calculate the greatest common divisor of 675, 921, 264, 892?

We can find the highest common divisor of 675, 921, 264, 892 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 675, 921, 264, 892 i.e 1.


3. How can I use the GCD of 675, 921, 264, 892Calculator?

Out the numbers 675, 921, 264, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.