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GCD of 525, 725, 470, 132 Calculator

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


Online GCD Calculator is useful to find the GCD of 525, 725, 470, 132 quickly. Get the easiest ways to solve the greatest common divisor of 525, 725, 470, 132 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 525, 725, 470, 132 with Factoring?

Given Input numbers are 525, 725, 470, 132

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

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (525, 725, 470, 132) = 1.

Find GCD of 525, 725, 470, 132 using Prime Factorization

Given numbers are 525, 725, 470, 132

The list of prime factors of all numbers are

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

Prime factors of 725 are 5 x 5 x 29

Prime factors of 470 are 2 x 5 x 47

Prime factors of 132 are 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 525, 725, 470, 132 using LCM Formula

Given numbers are 525, 725, 470, 132

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

Apply this formula for all numbers.

Step1:

LCM(525, 725) = 15225

GCD(525, 725) = ( 525 x 725 ) / 15225

= 525 / 725

= 525


Step2:

LCM(25, 470) = 2350

GCD(25, 470) = ( 25 x 470 ) / 2350

= 25 / 470

= 25


Step3:

LCM(5, 132) = 660

GCD(5, 132) = ( 5 x 132 ) / 660

= 5 / 132

= 5


So, Greatest Common Divisor of 525, 725, 470, 132 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 525, 725, 470, 132

Given numbers are 525, 725, 470, 132
The greatest common divisor of numbers 525, 725, 470, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 725, 470, 132 is 1.

FAQs on GCD of 525, 725, 470, 132 Calculator

1. What is the GCD of 525, 725, 470, 132?

GCD of given numbers 525, 725, 470, 132 is 1


2. How to calculate the greatest common divisor of 525, 725, 470, 132?

We can find the highest common divisor of 525, 725, 470, 132 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 525, 725, 470, 132 i.e 1.


3. How can I use the GCD of 525, 725, 470, 132Calculator?

Out the numbers 525, 725, 470, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.