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GCD of 869, 342, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 869, 342, 772 quickly. Get the easiest ways to solve the greatest common divisor of 869, 342, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 869, 342, 772 with Factoring?

Given Input numbers are 869, 342, 772

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

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (869, 342, 772) = 1.

Find GCD of 869, 342, 772 using Prime Factorization

Given numbers are 869, 342, 772

The list of prime factors of all numbers are

Prime factors of 869 are 11 x 79

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 869, 342, 772 using LCM Formula

Given numbers are 869, 342, 772

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

Apply this formula for all numbers.

Step1:

LCM(869, 342) = 297198

GCD(869, 342) = ( 869 x 342 ) / 297198

= 869 / 342

= 869


Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 869, 342, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 869, 342, 772

Given numbers are 869, 342, 772
The greatest common divisor of numbers 869, 342, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 869, 342, 772 is 1.

FAQs on GCD of 869, 342, 772 Calculator

1. What is the GCD of 869, 342, 772?

GCD of given numbers 869, 342, 772 is 1


2. How to calculate the greatest common divisor of 869, 342, 772?

We can find the highest common divisor of 869, 342, 772 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 869, 342, 772 i.e 1.


3. How can I use the GCD of 869, 342, 772Calculator?

Out the numbers 869, 342, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.