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GCD of 350, 658, 438, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 658, 438, 684 quickly. Get the easiest ways to solve the greatest common divisor of 350, 658, 438, 684 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 658, 438, 684 with Factoring?

Given Input numbers are 350, 658, 438, 684

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (350, 658, 438, 684) = 2.

Find GCD of 350, 658, 438, 684 using Prime Factorization

Given numbers are 350, 658, 438, 684

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 658 are 2 x 7 x 47

Prime factors of 438 are 2 x 3 x 73

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 350, 658, 438, 684 is 2.

Steps to Calculate GCD of 350, 658, 438, 684 using LCM Formula

Given numbers are 350, 658, 438, 684

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

Apply this formula for all numbers.

Step1:

LCM(350, 658) = 16450

GCD(350, 658) = ( 350 x 658 ) / 16450

= 350 / 658

= 350


Step2:

LCM(14, 438) = 3066

GCD(14, 438) = ( 14 x 438 ) / 3066

= 14 / 438

= 14


Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2


So, Greatest Common Divisor of 350, 658, 438, 684 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 658, 438, 684

Given numbers are 350, 658, 438, 684
The greatest common divisor of numbers 350, 658, 438, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 658, 438, 684 is 2.

FAQs on GCD of 350, 658, 438, 684 Calculator

1. What is the GCD of 350, 658, 438, 684?

GCD of given numbers 350, 658, 438, 684 is 2


2. How to calculate the greatest common divisor of 350, 658, 438, 684?

We can find the highest common divisor of 350, 658, 438, 684 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 350, 658, 438, 684 i.e 2.


3. How can I use the GCD of 350, 658, 438, 684Calculator?

Out the numbers 350, 658, 438, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.