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GCD of 918, 648, 29, 426 Calculator

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


Online GCD Calculator is useful to find the GCD of 918, 648, 29, 426 quickly. Get the easiest ways to solve the greatest common divisor of 918, 648, 29, 426 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 648, 29, 426 with Factoring?

Given Input numbers are 918, 648, 29, 426

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 29 :

The positive integer divisors of 29 that completely divides 29 are.

1, 29

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426


GCD of numbers is the greatest common divisor

So, the GCD (918, 648, 29, 426) = 1.

Find GCD of 918, 648, 29, 426 using Prime Factorization

Given numbers are 918, 648, 29, 426

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 29 are 29

Prime factors of 426 are 2 x 3 x 71

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

Steps to Calculate GCD of 918, 648, 29, 426 using LCM Formula

Given numbers are 918, 648, 29, 426

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

Apply this formula for all numbers.

Step1:

LCM(918, 648) = 11016

GCD(918, 648) = ( 918 x 648 ) / 11016

= 918 / 648

= 918


Step2:

LCM(54, 29) = 1566

GCD(54, 29) = ( 54 x 29 ) / 1566

= 54 / 29

= 54


Step3:

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

= 1 / 426

= 1


So, Greatest Common Divisor of 918, 648, 29, 426 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 648, 29, 426

Given numbers are 918, 648, 29, 426
The greatest common divisor of numbers 918, 648, 29, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 648, 29, 426 is 1.

FAQs on GCD of 918, 648, 29, 426 Calculator

1. What is the GCD of 918, 648, 29, 426?

GCD of given numbers 918, 648, 29, 426 is 1


2. How to calculate the greatest common divisor of 918, 648, 29, 426?

We can find the highest common divisor of 918, 648, 29, 426 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 918, 648, 29, 426 i.e 1.


3. How can I use the GCD of 918, 648, 29, 426Calculator?

Out the numbers 918, 648, 29, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.