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GCD of 964, 816, 498, 220 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, 816, 498, 220 quickly. Get the easiest ways to solve the greatest common divisor of 964, 816, 498, 220 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 816, 498, 220 with Factoring?

Given Input numbers are 964, 816, 498, 220

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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


GCD of numbers is the greatest common divisor

So, the GCD (964, 816, 498, 220) = 2.

Find GCD of 964, 816, 498, 220 using Prime Factorization

Given numbers are 964, 816, 498, 220

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 498 are 2 x 3 x 83

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

The highest common occurrence is 21

Therefore, GCD of 964, 816, 498, 220 is 2.

Steps to Calculate GCD of 964, 816, 498, 220 using LCM Formula

Given numbers are 964, 816, 498, 220

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

Apply this formula for all numbers.

Step1:

LCM(964, 816) = 196656

GCD(964, 816) = ( 964 x 816 ) / 196656

= 964 / 816

= 964


Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4


Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2


So, Greatest Common Divisor of 964, 816, 498, 220 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 816, 498, 220

Given numbers are 964, 816, 498, 220
The greatest common divisor of numbers 964, 816, 498, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 816, 498, 220 is 2.

FAQs on GCD of 964, 816, 498, 220 Calculator

1. What is the GCD of 964, 816, 498, 220?

GCD of given numbers 964, 816, 498, 220 is 2


2. How to calculate the greatest common divisor of 964, 816, 498, 220?

We can find the highest common divisor of 964, 816, 498, 220 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, 816, 498, 220 i.e 2.


3. How can I use the GCD of 964, 816, 498, 220Calculator?

Out the numbers 964, 816, 498, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.