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GCD of 538, 131, 504, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 538, 131, 504, 670 quickly. Get the easiest ways to solve the greatest common divisor of 538, 131, 504, 670 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 538, 131, 504, 670 with Factoring?

Given Input numbers are 538, 131, 504, 670

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (538, 131, 504, 670) = 1.

Find GCD of 538, 131, 504, 670 using Prime Factorization

Given numbers are 538, 131, 504, 670

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 131 are 131

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 670 are 2 x 5 x 67

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

Steps to Calculate GCD of 538, 131, 504, 670 using LCM Formula

Given numbers are 538, 131, 504, 670

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

Apply this formula for all numbers.

Step1:

LCM(538, 131) = 70478

GCD(538, 131) = ( 538 x 131 ) / 70478

= 538 / 131

= 538


Step2:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1


Step3:

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

= 1 / 670

= 1


So, Greatest Common Divisor of 538, 131, 504, 670 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 538, 131, 504, 670

Given numbers are 538, 131, 504, 670
The greatest common divisor of numbers 538, 131, 504, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 131, 504, 670 is 1.

FAQs on GCD of 538, 131, 504, 670 Calculator

1. What is the GCD of 538, 131, 504, 670?

GCD of given numbers 538, 131, 504, 670 is 1


2. How to calculate the greatest common divisor of 538, 131, 504, 670?

We can find the highest common divisor of 538, 131, 504, 670 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 538, 131, 504, 670 i.e 1.


3. How can I use the GCD of 538, 131, 504, 670Calculator?

Out the numbers 538, 131, 504, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.