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GCD of 354, 507, 755, 590 Calculator

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


Online GCD Calculator is useful to find the GCD of 354, 507, 755, 590 quickly. Get the easiest ways to solve the greatest common divisor of 354, 507, 755, 590 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 354, 507, 755, 590 with Factoring?

Given Input numbers are 354, 507, 755, 590

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 507 :

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

1, 3, 13, 39, 169, 507

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590


GCD of numbers is the greatest common divisor

So, the GCD (354, 507, 755, 590) = 1.

Find GCD of 354, 507, 755, 590 using Prime Factorization

Given numbers are 354, 507, 755, 590

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 507 are 3 x 13 x 13

Prime factors of 755 are 5 x 151

Prime factors of 590 are 2 x 5 x 59

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

Steps to Calculate GCD of 354, 507, 755, 590 using LCM Formula

Given numbers are 354, 507, 755, 590

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

Apply this formula for all numbers.

Step1:

LCM(354, 507) = 59826

GCD(354, 507) = ( 354 x 507 ) / 59826

= 354 / 507

= 354


Step2:

LCM(3, 755) = 2265

GCD(3, 755) = ( 3 x 755 ) / 2265

= 3 / 755

= 3


Step3:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1


So, Greatest Common Divisor of 354, 507, 755, 590 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 354, 507, 755, 590

Given numbers are 354, 507, 755, 590
The greatest common divisor of numbers 354, 507, 755, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 507, 755, 590 is 1.

FAQs on GCD of 354, 507, 755, 590 Calculator

1. What is the GCD of 354, 507, 755, 590?

GCD of given numbers 354, 507, 755, 590 is 1


2. How to calculate the greatest common divisor of 354, 507, 755, 590?

We can find the highest common divisor of 354, 507, 755, 590 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 354, 507, 755, 590 i.e 1.


3. How can I use the GCD of 354, 507, 755, 590Calculator?

Out the numbers 354, 507, 755, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.