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GCD of 361, 338, 504, 632 Calculator

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


Online GCD Calculator is useful to find the GCD of 361, 338, 504, 632 quickly. Get the easiest ways to solve the greatest common divisor of 361, 338, 504, 632 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 361, 338, 504, 632 with Factoring?

Given Input numbers are 361, 338, 504, 632

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632


GCD of numbers is the greatest common divisor

So, the GCD (361, 338, 504, 632) = 1.

Find GCD of 361, 338, 504, 632 using Prime Factorization

Given numbers are 361, 338, 504, 632

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 632 are 2 x 2 x 2 x 79

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

Steps to Calculate GCD of 361, 338, 504, 632 using LCM Formula

Given numbers are 361, 338, 504, 632

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

Apply this formula for all numbers.

Step1:

LCM(361, 338) = 122018

GCD(361, 338) = ( 361 x 338 ) / 122018

= 361 / 338

= 361


Step2:

LCM(1, 504) = 504

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

= 1 / 504

= 1


Step3:

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

= 1 / 632

= 1


So, Greatest Common Divisor of 361, 338, 504, 632 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 361, 338, 504, 632

Given numbers are 361, 338, 504, 632
The greatest common divisor of numbers 361, 338, 504, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 338, 504, 632 is 1.

FAQs on GCD of 361, 338, 504, 632 Calculator

1. What is the GCD of 361, 338, 504, 632?

GCD of given numbers 361, 338, 504, 632 is 1


2. How to calculate the greatest common divisor of 361, 338, 504, 632?

We can find the highest common divisor of 361, 338, 504, 632 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 361, 338, 504, 632 i.e 1.


3. How can I use the GCD of 361, 338, 504, 632Calculator?

Out the numbers 361, 338, 504, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.