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GCD of 921, 959, 504, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 921, 959, 504, 704 quickly. Get the easiest ways to solve the greatest common divisor of 921, 959, 504, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 921, 959, 504, 704 with Factoring?

Given Input numbers are 921, 959, 504, 704

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (921, 959, 504, 704) = 1.

Find GCD of 921, 959, 504, 704 using Prime Factorization

Given numbers are 921, 959, 504, 704

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 959 are 7 x 137

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 921, 959, 504, 704 using LCM Formula

Given numbers are 921, 959, 504, 704

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

Apply this formula for all numbers.

Step1:

LCM(921, 959) = 883239

GCD(921, 959) = ( 921 x 959 ) / 883239

= 921 / 959

= 921


Step2:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1


Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 921, 959, 504, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 921, 959, 504, 704

Given numbers are 921, 959, 504, 704
The greatest common divisor of numbers 921, 959, 504, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 959, 504, 704 is 1.

FAQs on GCD of 921, 959, 504, 704 Calculator

1. What is the GCD of 921, 959, 504, 704?

GCD of given numbers 921, 959, 504, 704 is 1


2. How to calculate the greatest common divisor of 921, 959, 504, 704?

We can find the highest common divisor of 921, 959, 504, 704 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 921, 959, 504, 704 i.e 1.


3. How can I use the GCD of 921, 959, 504, 704Calculator?

Out the numbers 921, 959, 504, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.