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GCD of 700, 961, 821, 635 Calculator

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


Online GCD Calculator is useful to find the GCD of 700, 961, 821, 635 quickly. Get the easiest ways to solve the greatest common divisor of 700, 961, 821, 635 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 961, 821, 635 with Factoring?

Given Input numbers are 700, 961, 821, 635

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

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635


GCD of numbers is the greatest common divisor

So, the GCD (700, 961, 821, 635) = 1.

Find GCD of 700, 961, 821, 635 using Prime Factorization

Given numbers are 700, 961, 821, 635

The list of prime factors of all numbers are

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

Prime factors of 961 are 31 x 31

Prime factors of 821 are 821

Prime factors of 635 are 5 x 127

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

Steps to Calculate GCD of 700, 961, 821, 635 using LCM Formula

Given numbers are 700, 961, 821, 635

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

Apply this formula for all numbers.

Step1:

LCM(700, 961) = 672700

GCD(700, 961) = ( 700 x 961 ) / 672700

= 700 / 961

= 700


Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1


Step3:

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

= 1 / 635

= 1


So, Greatest Common Divisor of 700, 961, 821, 635 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 961, 821, 635

Given numbers are 700, 961, 821, 635
The greatest common divisor of numbers 700, 961, 821, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 961, 821, 635 is 1.

FAQs on GCD of 700, 961, 821, 635 Calculator

1. What is the GCD of 700, 961, 821, 635?

GCD of given numbers 700, 961, 821, 635 is 1


2. How to calculate the greatest common divisor of 700, 961, 821, 635?

We can find the highest common divisor of 700, 961, 821, 635 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 700, 961, 821, 635 i.e 1.


3. How can I use the GCD of 700, 961, 821, 635Calculator?

Out the numbers 700, 961, 821, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.