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GCD of 748, 225, 82, 525 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 225, 82, 525 quickly. Get the easiest ways to solve the greatest common divisor of 748, 225, 82, 525 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 225, 82, 525 with Factoring?

Given Input numbers are 748, 225, 82, 525

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

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


GCD of numbers is the greatest common divisor

So, the GCD (748, 225, 82, 525) = 1.

Find GCD of 748, 225, 82, 525 using Prime Factorization

Given numbers are 748, 225, 82, 525

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 82 are 2 x 41

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

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

Steps to Calculate GCD of 748, 225, 82, 525 using LCM Formula

Given numbers are 748, 225, 82, 525

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

Apply this formula for all numbers.

Step1:

LCM(748, 225) = 168300

GCD(748, 225) = ( 748 x 225 ) / 168300

= 748 / 225

= 748


Step2:

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

= 1 / 82

= 1


Step3:

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

= 1 / 525

= 1


So, Greatest Common Divisor of 748, 225, 82, 525 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 225, 82, 525

Given numbers are 748, 225, 82, 525
The greatest common divisor of numbers 748, 225, 82, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 225, 82, 525 is 1.

FAQs on GCD of 748, 225, 82, 525 Calculator

1. What is the GCD of 748, 225, 82, 525?

GCD of given numbers 748, 225, 82, 525 is 1


2. How to calculate the greatest common divisor of 748, 225, 82, 525?

We can find the highest common divisor of 748, 225, 82, 525 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 748, 225, 82, 525 i.e 1.


3. How can I use the GCD of 748, 225, 82, 525Calculator?

Out the numbers 748, 225, 82, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.