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GCD of 746, 660, 529, 252 Calculator

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


Online GCD Calculator is useful to find the GCD of 746, 660, 529, 252 quickly. Get the easiest ways to solve the greatest common divisor of 746, 660, 529, 252 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 746, 660, 529, 252 with Factoring?

Given Input numbers are 746, 660, 529, 252

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252


GCD of numbers is the greatest common divisor

So, the GCD (746, 660, 529, 252) = 1.

Find GCD of 746, 660, 529, 252 using Prime Factorization

Given numbers are 746, 660, 529, 252

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 529 are 23 x 23

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Steps to Calculate GCD of 746, 660, 529, 252 using LCM Formula

Given numbers are 746, 660, 529, 252

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

Apply this formula for all numbers.

Step1:

LCM(746, 660) = 246180

GCD(746, 660) = ( 746 x 660 ) / 246180

= 746 / 660

= 746


Step2:

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

= 2 / 529

= 2


Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1


So, Greatest Common Divisor of 746, 660, 529, 252 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 746, 660, 529, 252

Given numbers are 746, 660, 529, 252
The greatest common divisor of numbers 746, 660, 529, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 660, 529, 252 is 1.

FAQs on GCD of 746, 660, 529, 252 Calculator

1. What is the GCD of 746, 660, 529, 252?

GCD of given numbers 746, 660, 529, 252 is 1


2. How to calculate the greatest common divisor of 746, 660, 529, 252?

We can find the highest common divisor of 746, 660, 529, 252 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 746, 660, 529, 252 i.e 1.


3. How can I use the GCD of 746, 660, 529, 252Calculator?

Out the numbers 746, 660, 529, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.