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GCD of 964, 590, 428, 490 Calculator

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


Online GCD Calculator is useful to find the GCD of 964, 590, 428, 490 quickly. Get the easiest ways to solve the greatest common divisor of 964, 590, 428, 490 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 590, 428, 490 with Factoring?

Given Input numbers are 964, 590, 428, 490

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490


GCD of numbers is the greatest common divisor

So, the GCD (964, 590, 428, 490) = 2.

Find GCD of 964, 590, 428, 490 using Prime Factorization

Given numbers are 964, 590, 428, 490

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 590 are 2 x 5 x 59

Prime factors of 428 are 2 x 2 x 107

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 964, 590, 428, 490 is 2.

Steps to Calculate GCD of 964, 590, 428, 490 using LCM Formula

Given numbers are 964, 590, 428, 490

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

Apply this formula for all numbers.

Step1:

LCM(964, 590) = 284380

GCD(964, 590) = ( 964 x 590 ) / 284380

= 964 / 590

= 964


Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2


Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2


So, Greatest Common Divisor of 964, 590, 428, 490 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 590, 428, 490

Given numbers are 964, 590, 428, 490
The greatest common divisor of numbers 964, 590, 428, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 590, 428, 490 is 2.

FAQs on GCD of 964, 590, 428, 490 Calculator

1. What is the GCD of 964, 590, 428, 490?

GCD of given numbers 964, 590, 428, 490 is 2


2. How to calculate the greatest common divisor of 964, 590, 428, 490?

We can find the highest common divisor of 964, 590, 428, 490 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 964, 590, 428, 490 i.e 2.


3. How can I use the GCD of 964, 590, 428, 490Calculator?

Out the numbers 964, 590, 428, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.