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GCD of 504, 358, 320, 802 Calculator

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


Online GCD Calculator is useful to find the GCD of 504, 358, 320, 802 quickly. Get the easiest ways to solve the greatest common divisor of 504, 358, 320, 802 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 358, 320, 802 with Factoring?

Given Input numbers are 504, 358, 320, 802

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

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802


GCD of numbers is the greatest common divisor

So, the GCD (504, 358, 320, 802) = 2.

Find GCD of 504, 358, 320, 802 using Prime Factorization

Given numbers are 504, 358, 320, 802

The list of prime factors of all numbers are

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

Prime factors of 358 are 2 x 179

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 802 are 2 x 401

The highest common occurrence is 21

Therefore, GCD of 504, 358, 320, 802 is 2.

Steps to Calculate GCD of 504, 358, 320, 802 using LCM Formula

Given numbers are 504, 358, 320, 802

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

Apply this formula for all numbers.

Step1:

LCM(504, 358) = 90216

GCD(504, 358) = ( 504 x 358 ) / 90216

= 504 / 358

= 504


Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


Step3:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2


So, Greatest Common Divisor of 504, 358, 320, 802 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 358, 320, 802

Given numbers are 504, 358, 320, 802
The greatest common divisor of numbers 504, 358, 320, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 358, 320, 802 is 2.

FAQs on GCD of 504, 358, 320, 802 Calculator

1. What is the GCD of 504, 358, 320, 802?

GCD of given numbers 504, 358, 320, 802 is 2


2. How to calculate the greatest common divisor of 504, 358, 320, 802?

We can find the highest common divisor of 504, 358, 320, 802 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 504, 358, 320, 802 i.e 2.


3. How can I use the GCD of 504, 358, 320, 802Calculator?

Out the numbers 504, 358, 320, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.