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GCD of 480, 656, 697, 959 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 656, 697, 959 quickly. Get the easiest ways to solve the greatest common divisor of 480, 656, 697, 959 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 656, 697, 959 with Factoring?

Given Input numbers are 480, 656, 697, 959

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 959 :

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

1, 7, 137, 959


GCD of numbers is the greatest common divisor

So, the GCD (480, 656, 697, 959) = 1.

Find GCD of 480, 656, 697, 959 using Prime Factorization

Given numbers are 480, 656, 697, 959

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 697 are 17 x 41

Prime factors of 959 are 7 x 137

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

Steps to Calculate GCD of 480, 656, 697, 959 using LCM Formula

Given numbers are 480, 656, 697, 959

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

Apply this formula for all numbers.

Step1:

LCM(480, 656) = 19680

GCD(480, 656) = ( 480 x 656 ) / 19680

= 480 / 656

= 480


Step2:

LCM(16, 697) = 11152

GCD(16, 697) = ( 16 x 697 ) / 11152

= 16 / 697

= 16


Step3:

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

= 1 / 959

= 1


So, Greatest Common Divisor of 480, 656, 697, 959 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 656, 697, 959

Given numbers are 480, 656, 697, 959
The greatest common divisor of numbers 480, 656, 697, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 656, 697, 959 is 1.

FAQs on GCD of 480, 656, 697, 959 Calculator

1. What is the GCD of 480, 656, 697, 959?

GCD of given numbers 480, 656, 697, 959 is 1


2. How to calculate the greatest common divisor of 480, 656, 697, 959?

We can find the highest common divisor of 480, 656, 697, 959 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 480, 656, 697, 959 i.e 1.


3. How can I use the GCD of 480, 656, 697, 959Calculator?

Out the numbers 480, 656, 697, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.