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GCD of 675, 534, 903, 657 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, 534, 903, 657 quickly. Get the easiest ways to solve the greatest common divisor of 675, 534, 903, 657 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 675, 534, 903, 657 with Factoring?

Given Input numbers are 675, 534, 903, 657

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 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657


GCD of numbers is the greatest common divisor

So, the GCD (675, 534, 903, 657) = 3.

Find GCD of 675, 534, 903, 657 using Prime Factorization

Given numbers are 675, 534, 903, 657

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 534 are 2 x 3 x 89

Prime factors of 903 are 3 x 7 x 43

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 31

Therefore, GCD of 675, 534, 903, 657 is 3.

Steps to Calculate GCD of 675, 534, 903, 657 using LCM Formula

Given numbers are 675, 534, 903, 657

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

Apply this formula for all numbers.

Step1:

LCM(675, 534) = 120150

GCD(675, 534) = ( 675 x 534 ) / 120150

= 675 / 534

= 675


Step2:

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

= 3 / 903

= 3


Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3


So, Greatest Common Divisor of 675, 534, 903, 657 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 675, 534, 903, 657

Given numbers are 675, 534, 903, 657
The greatest common divisor of numbers 675, 534, 903, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 534, 903, 657 is 3.

FAQs on GCD of 675, 534, 903, 657 Calculator

1. What is the GCD of 675, 534, 903, 657?

GCD of given numbers 675, 534, 903, 657 is 3


2. How to calculate the greatest common divisor of 675, 534, 903, 657?

We can find the highest common divisor of 675, 534, 903, 657 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, 534, 903, 657 i.e 3.


3. How can I use the GCD of 675, 534, 903, 657Calculator?

Out the numbers 675, 534, 903, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.