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GCD of 430, 220, 964 Calculator

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


Online GCD Calculator is useful to find the GCD of 430, 220, 964 quickly. Get the easiest ways to solve the greatest common divisor of 430, 220, 964 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 430, 220, 964 with Factoring?

Given Input numbers are 430, 220, 964

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

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 964 :

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

1, 2, 4, 241, 482, 964


GCD of numbers is the greatest common divisor

So, the GCD (430, 220, 964) = 2.

Find GCD of 430, 220, 964 using Prime Factorization

Given numbers are 430, 220, 964

The list of prime factors of all numbers are

Prime factors of 430 are 2 x 5 x 43

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 21

Therefore, GCD of 430, 220, 964 is 2.

Steps to Calculate GCD of 430, 220, 964 using LCM Formula

Given numbers are 430, 220, 964

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

Apply this formula for all numbers.

Step1:

LCM(430, 220) = 9460

GCD(430, 220) = ( 430 x 220 ) / 9460

= 430 / 220

= 430


Step2:

LCM(10, 964) = 4820

GCD(10, 964) = ( 10 x 964 ) / 4820

= 10 / 964

= 10


So, Greatest Common Divisor of 430, 220, 964 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 430, 220, 964

Given numbers are 430, 220, 964
The greatest common divisor of numbers 430, 220, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 430, 220, 964 is 2.

FAQs on GCD of 430, 220, 964 Calculator

1. What is the GCD of 430, 220, 964?

GCD of given numbers 430, 220, 964 is 2


2. How to calculate the greatest common divisor of 430, 220, 964?

We can find the highest common divisor of 430, 220, 964 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 430, 220, 964 i.e 2.


3. How can I use the GCD of 430, 220, 964Calculator?

Out the numbers 430, 220, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.