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GCD of 429, 171, 826, 955 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, 171, 826, 955 quickly. Get the easiest ways to solve the greatest common divisor of 429, 171, 826, 955 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 429, 171, 826, 955 with Factoring?

Given Input numbers are 429, 171, 826, 955

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 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955


GCD of numbers is the greatest common divisor

So, the GCD (429, 171, 826, 955) = 1.

Find GCD of 429, 171, 826, 955 using Prime Factorization

Given numbers are 429, 171, 826, 955

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 171 are 3 x 3 x 19

Prime factors of 826 are 2 x 7 x 59

Prime factors of 955 are 5 x 191

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

Steps to Calculate GCD of 429, 171, 826, 955 using LCM Formula

Given numbers are 429, 171, 826, 955

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

Apply this formula for all numbers.

Step1:

LCM(429, 171) = 24453

GCD(429, 171) = ( 429 x 171 ) / 24453

= 429 / 171

= 429


Step2:

LCM(3, 826) = 2478

GCD(3, 826) = ( 3 x 826 ) / 2478

= 3 / 826

= 3


Step3:

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

= 1 / 955

= 1


So, Greatest Common Divisor of 429, 171, 826, 955 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 429, 171, 826, 955

Given numbers are 429, 171, 826, 955
The greatest common divisor of numbers 429, 171, 826, 955 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 171, 826, 955 is 1.

FAQs on GCD of 429, 171, 826, 955 Calculator

1. What is the GCD of 429, 171, 826, 955?

GCD of given numbers 429, 171, 826, 955 is 1


2. How to calculate the greatest common divisor of 429, 171, 826, 955?

We can find the highest common divisor of 429, 171, 826, 955 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, 171, 826, 955 i.e 1.


3. How can I use the GCD of 429, 171, 826, 955Calculator?

Out the numbers 429, 171, 826, 955 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.