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GCD of 753, 135, 900, 521 Calculator

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


Online GCD Calculator is useful to find the GCD of 753, 135, 900, 521 quickly. Get the easiest ways to solve the greatest common divisor of 753, 135, 900, 521 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 753, 135, 900, 521 with Factoring?

Given Input numbers are 753, 135, 900, 521

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521


GCD of numbers is the greatest common divisor

So, the GCD (753, 135, 900, 521) = 1.

Find GCD of 753, 135, 900, 521 using Prime Factorization

Given numbers are 753, 135, 900, 521

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 521 are 521

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

Steps to Calculate GCD of 753, 135, 900, 521 using LCM Formula

Given numbers are 753, 135, 900, 521

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

Apply this formula for all numbers.

Step1:

LCM(753, 135) = 33885

GCD(753, 135) = ( 753 x 135 ) / 33885

= 753 / 135

= 753


Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3


Step3:

LCM(3, 521) = 1563

GCD(3, 521) = ( 3 x 521 ) / 1563

= 3 / 521

= 3


So, Greatest Common Divisor of 753, 135, 900, 521 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 753, 135, 900, 521

Given numbers are 753, 135, 900, 521
The greatest common divisor of numbers 753, 135, 900, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 135, 900, 521 is 1.

FAQs on GCD of 753, 135, 900, 521 Calculator

1. What is the GCD of 753, 135, 900, 521?

GCD of given numbers 753, 135, 900, 521 is 1


2. How to calculate the greatest common divisor of 753, 135, 900, 521?

We can find the highest common divisor of 753, 135, 900, 521 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 753, 135, 900, 521 i.e 1.


3. How can I use the GCD of 753, 135, 900, 521Calculator?

Out the numbers 753, 135, 900, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.