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GCD of 975, 525, 669, 801 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 525, 669, 801 quickly. Get the easiest ways to solve the greatest common divisor of 975, 525, 669, 801 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 525, 669, 801 with Factoring?

Given Input numbers are 975, 525, 669, 801

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801


GCD of numbers is the greatest common divisor

So, the GCD (975, 525, 669, 801) = 3.

Find GCD of 975, 525, 669, 801 using Prime Factorization

Given numbers are 975, 525, 669, 801

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 669 are 3 x 223

Prime factors of 801 are 3 x 3 x 89

The highest common occurrence is 31

Therefore, GCD of 975, 525, 669, 801 is 3.

Steps to Calculate GCD of 975, 525, 669, 801 using LCM Formula

Given numbers are 975, 525, 669, 801

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

Apply this formula for all numbers.

Step1:

LCM(975, 525) = 6825

GCD(975, 525) = ( 975 x 525 ) / 6825

= 975 / 525

= 975


Step2:

LCM(75, 669) = 16725

GCD(75, 669) = ( 75 x 669 ) / 16725

= 75 / 669

= 75


Step3:

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

= 3 / 801

= 3


So, Greatest Common Divisor of 975, 525, 669, 801 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 525, 669, 801

Given numbers are 975, 525, 669, 801
The greatest common divisor of numbers 975, 525, 669, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 525, 669, 801 is 3.

FAQs on GCD of 975, 525, 669, 801 Calculator

1. What is the GCD of 975, 525, 669, 801?

GCD of given numbers 975, 525, 669, 801 is 3


2. How to calculate the greatest common divisor of 975, 525, 669, 801?

We can find the highest common divisor of 975, 525, 669, 801 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 975, 525, 669, 801 i.e 3.


3. How can I use the GCD of 975, 525, 669, 801Calculator?

Out the numbers 975, 525, 669, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.