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GCD of 507, 189, 402, 274 Calculator

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


Online GCD Calculator is useful to find the GCD of 507, 189, 402, 274 quickly. Get the easiest ways to solve the greatest common divisor of 507, 189, 402, 274 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 507, 189, 402, 274 with Factoring?

Given Input numbers are 507, 189, 402, 274

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274


GCD of numbers is the greatest common divisor

So, the GCD (507, 189, 402, 274) = 1.

Find GCD of 507, 189, 402, 274 using Prime Factorization

Given numbers are 507, 189, 402, 274

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 402 are 2 x 3 x 67

Prime factors of 274 are 2 x 137

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

Steps to Calculate GCD of 507, 189, 402, 274 using LCM Formula

Given numbers are 507, 189, 402, 274

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

Apply this formula for all numbers.

Step1:

LCM(507, 189) = 31941

GCD(507, 189) = ( 507 x 189 ) / 31941

= 507 / 189

= 507


Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3


Step3:

LCM(3, 274) = 822

GCD(3, 274) = ( 3 x 274 ) / 822

= 3 / 274

= 3


So, Greatest Common Divisor of 507, 189, 402, 274 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 507, 189, 402, 274

Given numbers are 507, 189, 402, 274
The greatest common divisor of numbers 507, 189, 402, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 189, 402, 274 is 1.

FAQs on GCD of 507, 189, 402, 274 Calculator

1. What is the GCD of 507, 189, 402, 274?

GCD of given numbers 507, 189, 402, 274 is 1


2. How to calculate the greatest common divisor of 507, 189, 402, 274?

We can find the highest common divisor of 507, 189, 402, 274 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 507, 189, 402, 274 i.e 1.


3. How can I use the GCD of 507, 189, 402, 274Calculator?

Out the numbers 507, 189, 402, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.