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GCD of 990, 827, 700, 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 990, 827, 700, 635 quickly. Get the easiest ways to solve the greatest common divisor of 990, 827, 700, 635 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 827, 700, 635 with Factoring?

Given Input numbers are 990, 827, 700, 635

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

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 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 (990, 827, 700, 635) = 1.

Find GCD of 990, 827, 700, 635 using Prime Factorization

Given numbers are 990, 827, 700, 635

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 827 are 827

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

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 990, 827, 700, 635 using LCM Formula

Given numbers are 990, 827, 700, 635

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

Apply this formula for all numbers.

Step1:

LCM(990, 827) = 818730

GCD(990, 827) = ( 990 x 827 ) / 818730

= 990 / 827

= 990


Step2:

LCM(1, 700) = 700

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

= 1 / 700

= 1


Step3:

LCM(1, 635) = 635

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

= 1 / 635

= 1


So, Greatest Common Divisor of 990, 827, 700, 635 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 827, 700, 635

Given numbers are 990, 827, 700, 635
The greatest common divisor of numbers 990, 827, 700, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 827, 700, 635 is 1.

FAQs on GCD of 990, 827, 700, 635 Calculator

1. What is the GCD of 990, 827, 700, 635?

GCD of given numbers 990, 827, 700, 635 is 1


2. How to calculate the greatest common divisor of 990, 827, 700, 635?

We can find the highest common divisor of 990, 827, 700, 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 990, 827, 700, 635 i.e 1.


3. How can I use the GCD of 990, 827, 700, 635Calculator?

Out the numbers 990, 827, 700, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.