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GCD of 616, 200, 657, 700 Calculator

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


Online GCD Calculator is useful to find the GCD of 616, 200, 657, 700 quickly. Get the easiest ways to solve the greatest common divisor of 616, 200, 657, 700 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 200, 657, 700 with Factoring?

Given Input numbers are 616, 200, 657, 700

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

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


GCD of numbers is the greatest common divisor

So, the GCD (616, 200, 657, 700) = 1.

Find GCD of 616, 200, 657, 700 using Prime Factorization

Given numbers are 616, 200, 657, 700

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 657 are 3 x 3 x 73

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

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

Steps to Calculate GCD of 616, 200, 657, 700 using LCM Formula

Given numbers are 616, 200, 657, 700

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

Apply this formula for all numbers.

Step1:

LCM(616, 200) = 15400

GCD(616, 200) = ( 616 x 200 ) / 15400

= 616 / 200

= 616


Step2:

LCM(8, 657) = 5256

GCD(8, 657) = ( 8 x 657 ) / 5256

= 8 / 657

= 8


Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1


So, Greatest Common Divisor of 616, 200, 657, 700 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 200, 657, 700

Given numbers are 616, 200, 657, 700
The greatest common divisor of numbers 616, 200, 657, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 200, 657, 700 is 1.

FAQs on GCD of 616, 200, 657, 700 Calculator

1. What is the GCD of 616, 200, 657, 700?

GCD of given numbers 616, 200, 657, 700 is 1


2. How to calculate the greatest common divisor of 616, 200, 657, 700?

We can find the highest common divisor of 616, 200, 657, 700 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 616, 200, 657, 700 i.e 1.


3. How can I use the GCD of 616, 200, 657, 700Calculator?

Out the numbers 616, 200, 657, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.