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GCD of 26, 66, 22, 64 Calculator

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


Online GCD Calculator is useful to find the GCD of 26, 66, 22, 64 quickly. Get the easiest ways to solve the greatest common divisor of 26, 66, 22, 64 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 26, 66, 22, 64 with Factoring?

Given Input numbers are 26, 66, 22, 64

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

Divisors of 26 :

The positive integer divisors of 26 that completely divides 26 are.

1, 2, 13, 26

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64


GCD of numbers is the greatest common divisor

So, the GCD (26, 66, 22, 64) = 2.

Find GCD of 26, 66, 22, 64 using Prime Factorization

Given numbers are 26, 66, 22, 64

The list of prime factors of all numbers are

Prime factors of 26 are 2 x 13

Prime factors of 66 are 2 x 3 x 11

Prime factors of 22 are 2 x 11

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 21

Therefore, GCD of 26, 66, 22, 64 is 2.

Steps to Calculate GCD of 26, 66, 22, 64 using LCM Formula

Given numbers are 26, 66, 22, 64

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

Apply this formula for all numbers.

Step1:

LCM(26, 66) = 858

GCD(26, 66) = ( 26 x 66 ) / 858

= 26 / 66

= 26


Step2:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2


Step3:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2


So, Greatest Common Divisor of 26, 66, 22, 64 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 26, 66, 22, 64

Given numbers are 26, 66, 22, 64
The greatest common divisor of numbers 26, 66, 22, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 26, 66, 22, 64 is 2.

FAQs on GCD of 26, 66, 22, 64 Calculator

1. What is the GCD of 26, 66, 22, 64?

GCD of given numbers 26, 66, 22, 64 is 2


2. How to calculate the greatest common divisor of 26, 66, 22, 64?

We can find the highest common divisor of 26, 66, 22, 64 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 26, 66, 22, 64 i.e 2.


3. How can I use the GCD of 26, 66, 22, 64Calculator?

Out the numbers 26, 66, 22, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.