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GCD of 364, 700, 462, 326 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 700, 462, 326 quickly. Get the easiest ways to solve the greatest common divisor of 364, 700, 462, 326 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 700, 462, 326 with Factoring?

Given Input numbers are 364, 700, 462, 326

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326


GCD of numbers is the greatest common divisor

So, the GCD (364, 700, 462, 326) = 2.

Find GCD of 364, 700, 462, 326 using Prime Factorization

Given numbers are 364, 700, 462, 326

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 326 are 2 x 163

The highest common occurrence is 21

Therefore, GCD of 364, 700, 462, 326 is 2.

Steps to Calculate GCD of 364, 700, 462, 326 using LCM Formula

Given numbers are 364, 700, 462, 326

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

Apply this formula for all numbers.

Step1:

LCM(364, 700) = 9100

GCD(364, 700) = ( 364 x 700 ) / 9100

= 364 / 700

= 364


Step2:

LCM(28, 462) = 924

GCD(28, 462) = ( 28 x 462 ) / 924

= 28 / 462

= 28


Step3:

LCM(14, 326) = 2282

GCD(14, 326) = ( 14 x 326 ) / 2282

= 14 / 326

= 14


So, Greatest Common Divisor of 364, 700, 462, 326 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 700, 462, 326

Given numbers are 364, 700, 462, 326
The greatest common divisor of numbers 364, 700, 462, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 700, 462, 326 is 2.

FAQs on GCD of 364, 700, 462, 326 Calculator

1. What is the GCD of 364, 700, 462, 326?

GCD of given numbers 364, 700, 462, 326 is 2


2. How to calculate the greatest common divisor of 364, 700, 462, 326?

We can find the highest common divisor of 364, 700, 462, 326 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 364, 700, 462, 326 i.e 2.


3. How can I use the GCD of 364, 700, 462, 326Calculator?

Out the numbers 364, 700, 462, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.