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GCD of 480, 971, 473, 782 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, 971, 473, 782 quickly. Get the easiest ways to solve the greatest common divisor of 480, 971, 473, 782 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 971, 473, 782 with Factoring?

Given Input numbers are 480, 971, 473, 782

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782


GCD of numbers is the greatest common divisor

So, the GCD (480, 971, 473, 782) = 1.

Find GCD of 480, 971, 473, 782 using Prime Factorization

Given numbers are 480, 971, 473, 782

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 971 are 971

Prime factors of 473 are 11 x 43

Prime factors of 782 are 2 x 17 x 23

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

Steps to Calculate GCD of 480, 971, 473, 782 using LCM Formula

Given numbers are 480, 971, 473, 782

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

Apply this formula for all numbers.

Step1:

LCM(480, 971) = 466080

GCD(480, 971) = ( 480 x 971 ) / 466080

= 480 / 971

= 480


Step2:

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

= 1 / 473

= 1


Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1


So, Greatest Common Divisor of 480, 971, 473, 782 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 971, 473, 782

Given numbers are 480, 971, 473, 782
The greatest common divisor of numbers 480, 971, 473, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 971, 473, 782 is 1.

FAQs on GCD of 480, 971, 473, 782 Calculator

1. What is the GCD of 480, 971, 473, 782?

GCD of given numbers 480, 971, 473, 782 is 1


2. How to calculate the greatest common divisor of 480, 971, 473, 782?

We can find the highest common divisor of 480, 971, 473, 782 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, 971, 473, 782 i.e 1.


3. How can I use the GCD of 480, 971, 473, 782Calculator?

Out the numbers 480, 971, 473, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.