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GCD of 672, 600, 518, 614 Calculator

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


Online GCD Calculator is useful to find the GCD of 672, 600, 518, 614 quickly. Get the easiest ways to solve the greatest common divisor of 672, 600, 518, 614 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 600, 518, 614 with Factoring?

Given Input numbers are 672, 600, 518, 614

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614


GCD of numbers is the greatest common divisor

So, the GCD (672, 600, 518, 614) = 2.

Find GCD of 672, 600, 518, 614 using Prime Factorization

Given numbers are 672, 600, 518, 614

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 518 are 2 x 7 x 37

Prime factors of 614 are 2 x 307

The highest common occurrence is 21

Therefore, GCD of 672, 600, 518, 614 is 2.

Steps to Calculate GCD of 672, 600, 518, 614 using LCM Formula

Given numbers are 672, 600, 518, 614

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

Apply this formula for all numbers.

Step1:

LCM(672, 600) = 16800

GCD(672, 600) = ( 672 x 600 ) / 16800

= 672 / 600

= 672


Step2:

LCM(24, 518) = 6216

GCD(24, 518) = ( 24 x 518 ) / 6216

= 24 / 518

= 24


Step3:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2


So, Greatest Common Divisor of 672, 600, 518, 614 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 600, 518, 614

Given numbers are 672, 600, 518, 614
The greatest common divisor of numbers 672, 600, 518, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 600, 518, 614 is 2.

FAQs on GCD of 672, 600, 518, 614 Calculator

1. What is the GCD of 672, 600, 518, 614?

GCD of given numbers 672, 600, 518, 614 is 2


2. How to calculate the greatest common divisor of 672, 600, 518, 614?

We can find the highest common divisor of 672, 600, 518, 614 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 672, 600, 518, 614 i.e 2.


3. How can I use the GCD of 672, 600, 518, 614Calculator?

Out the numbers 672, 600, 518, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.