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GCD of 429, 242, 579, 677 Calculator

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


Online GCD Calculator is useful to find the GCD of 429, 242, 579, 677 quickly. Get the easiest ways to solve the greatest common divisor of 429, 242, 579, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 242, 579, 677 with Factoring?

Given Input numbers are 429, 242, 579, 677

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (429, 242, 579, 677) = 1.

Find GCD of 429, 242, 579, 677 using Prime Factorization

Given numbers are 429, 242, 579, 677

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 242 are 2 x 11 x 11

Prime factors of 579 are 3 x 193

Prime factors of 677 are 677

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

Steps to Calculate GCD of 429, 242, 579, 677 using LCM Formula

Given numbers are 429, 242, 579, 677

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

Apply this formula for all numbers.

Step1:

LCM(429, 242) = 9438

GCD(429, 242) = ( 429 x 242 ) / 9438

= 429 / 242

= 429


Step2:

LCM(11, 579) = 6369

GCD(11, 579) = ( 11 x 579 ) / 6369

= 11 / 579

= 11


Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


So, Greatest Common Divisor of 429, 242, 579, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 242, 579, 677

Given numbers are 429, 242, 579, 677
The greatest common divisor of numbers 429, 242, 579, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 242, 579, 677 is 1.

FAQs on GCD of 429, 242, 579, 677 Calculator

1. What is the GCD of 429, 242, 579, 677?

GCD of given numbers 429, 242, 579, 677 is 1


2. How to calculate the greatest common divisor of 429, 242, 579, 677?

We can find the highest common divisor of 429, 242, 579, 677 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 429, 242, 579, 677 i.e 1.


3. How can I use the GCD of 429, 242, 579, 677Calculator?

Out the numbers 429, 242, 579, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.