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GCD of 787, 689, 524, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 787, 689, 524, 480 quickly. Get the easiest ways to solve the greatest common divisor of 787, 689, 524, 480 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 787, 689, 524, 480 with Factoring?

Given Input numbers are 787, 689, 524, 480

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

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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


GCD of numbers is the greatest common divisor

So, the GCD (787, 689, 524, 480) = 1.

Find GCD of 787, 689, 524, 480 using Prime Factorization

Given numbers are 787, 689, 524, 480

The list of prime factors of all numbers are

Prime factors of 787 are 787

Prime factors of 689 are 13 x 53

Prime factors of 524 are 2 x 2 x 131

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

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

Steps to Calculate GCD of 787, 689, 524, 480 using LCM Formula

Given numbers are 787, 689, 524, 480

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

Apply this formula for all numbers.

Step1:

LCM(787, 689) = 542243

GCD(787, 689) = ( 787 x 689 ) / 542243

= 787 / 689

= 787


Step2:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1


Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1


So, Greatest Common Divisor of 787, 689, 524, 480 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 787, 689, 524, 480

Given numbers are 787, 689, 524, 480
The greatest common divisor of numbers 787, 689, 524, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 787, 689, 524, 480 is 1.

FAQs on GCD of 787, 689, 524, 480 Calculator

1. What is the GCD of 787, 689, 524, 480?

GCD of given numbers 787, 689, 524, 480 is 1


2. How to calculate the greatest common divisor of 787, 689, 524, 480?

We can find the highest common divisor of 787, 689, 524, 480 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 787, 689, 524, 480 i.e 1.


3. How can I use the GCD of 787, 689, 524, 480Calculator?

Out the numbers 787, 689, 524, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.