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GCD of 582, 120, 294, 425 Calculator

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


Online GCD Calculator is useful to find the GCD of 582, 120, 294, 425 quickly. Get the easiest ways to solve the greatest common divisor of 582, 120, 294, 425 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 582, 120, 294, 425 with Factoring?

Given Input numbers are 582, 120, 294, 425

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425


GCD of numbers is the greatest common divisor

So, the GCD (582, 120, 294, 425) = 1.

Find GCD of 582, 120, 294, 425 using Prime Factorization

Given numbers are 582, 120, 294, 425

The list of prime factors of all numbers are

Prime factors of 582 are 2 x 3 x 97

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 425 are 5 x 5 x 17

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

Steps to Calculate GCD of 582, 120, 294, 425 using LCM Formula

Given numbers are 582, 120, 294, 425

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

Apply this formula for all numbers.

Step1:

LCM(582, 120) = 11640

GCD(582, 120) = ( 582 x 120 ) / 11640

= 582 / 120

= 582


Step2:

LCM(6, 294) = 294

GCD(6, 294) = ( 6 x 294 ) / 294

= 6 / 294

= 6


Step3:

LCM(6, 425) = 2550

GCD(6, 425) = ( 6 x 425 ) / 2550

= 6 / 425

= 6


So, Greatest Common Divisor of 582, 120, 294, 425 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 582, 120, 294, 425

Given numbers are 582, 120, 294, 425
The greatest common divisor of numbers 582, 120, 294, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 120, 294, 425 is 1.

FAQs on GCD of 582, 120, 294, 425 Calculator

1. What is the GCD of 582, 120, 294, 425?

GCD of given numbers 582, 120, 294, 425 is 1


2. How to calculate the greatest common divisor of 582, 120, 294, 425?

We can find the highest common divisor of 582, 120, 294, 425 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 582, 120, 294, 425 i.e 1.


3. How can I use the GCD of 582, 120, 294, 425Calculator?

Out the numbers 582, 120, 294, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.