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GCD of 462, 112, 959, 780 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 112, 959, 780 quickly. Get the easiest ways to solve the greatest common divisor of 462, 112, 959, 780 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 112, 959, 780 with Factoring?

Given Input numbers are 462, 112, 959, 780

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 959 :

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

1, 7, 137, 959

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780


GCD of numbers is the greatest common divisor

So, the GCD (462, 112, 959, 780) = 1.

Find GCD of 462, 112, 959, 780 using Prime Factorization

Given numbers are 462, 112, 959, 780

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 959 are 7 x 137

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Steps to Calculate GCD of 462, 112, 959, 780 using LCM Formula

Given numbers are 462, 112, 959, 780

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

Apply this formula for all numbers.

Step1:

LCM(462, 112) = 3696

GCD(462, 112) = ( 462 x 112 ) / 3696

= 462 / 112

= 462


Step2:

LCM(14, 959) = 1918

GCD(14, 959) = ( 14 x 959 ) / 1918

= 14 / 959

= 14


Step3:

LCM(7, 780) = 5460

GCD(7, 780) = ( 7 x 780 ) / 5460

= 7 / 780

= 7


So, Greatest Common Divisor of 462, 112, 959, 780 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 112, 959, 780

Given numbers are 462, 112, 959, 780
The greatest common divisor of numbers 462, 112, 959, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 112, 959, 780 is 1.

FAQs on GCD of 462, 112, 959, 780 Calculator

1. What is the GCD of 462, 112, 959, 780?

GCD of given numbers 462, 112, 959, 780 is 1


2. How to calculate the greatest common divisor of 462, 112, 959, 780?

We can find the highest common divisor of 462, 112, 959, 780 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 462, 112, 959, 780 i.e 1.


3. How can I use the GCD of 462, 112, 959, 780Calculator?

Out the numbers 462, 112, 959, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.