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GCD of 831, 936, 208, 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 831, 936, 208, 700 quickly. Get the easiest ways to solve the greatest common divisor of 831, 936, 208, 700 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 831, 936, 208, 700 with Factoring?

Given Input numbers are 831, 936, 208, 700

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 (831, 936, 208, 700) = 1.

Find GCD of 831, 936, 208, 700 using Prime Factorization

Given numbers are 831, 936, 208, 700

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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 831, 936, 208, 700 using LCM Formula

Given numbers are 831, 936, 208, 700

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

Apply this formula for all numbers.

Step1:

LCM(831, 936) = 259272

GCD(831, 936) = ( 831 x 936 ) / 259272

= 831 / 936

= 831


Step2:

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

= 3 / 208

= 3


Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1


So, Greatest Common Divisor of 831, 936, 208, 700 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 831, 936, 208, 700

Given numbers are 831, 936, 208, 700
The greatest common divisor of numbers 831, 936, 208, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 936, 208, 700 is 1.

FAQs on GCD of 831, 936, 208, 700 Calculator

1. What is the GCD of 831, 936, 208, 700?

GCD of given numbers 831, 936, 208, 700 is 1


2. How to calculate the greatest common divisor of 831, 936, 208, 700?

We can find the highest common divisor of 831, 936, 208, 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 831, 936, 208, 700 i.e 1.


3. How can I use the GCD of 831, 936, 208, 700Calculator?

Out the numbers 831, 936, 208, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.