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GCD of 676, 123, 465, 858 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 123, 465, 858 quickly. Get the easiest ways to solve the greatest common divisor of 676, 123, 465, 858 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 123, 465, 858 with Factoring?

Given Input numbers are 676, 123, 465, 858

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858


GCD of numbers is the greatest common divisor

So, the GCD (676, 123, 465, 858) = 1.

Find GCD of 676, 123, 465, 858 using Prime Factorization

Given numbers are 676, 123, 465, 858

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 123 are 3 x 41

Prime factors of 465 are 3 x 5 x 31

Prime factors of 858 are 2 x 3 x 11 x 13

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

Steps to Calculate GCD of 676, 123, 465, 858 using LCM Formula

Given numbers are 676, 123, 465, 858

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

Apply this formula for all numbers.

Step1:

LCM(676, 123) = 83148

GCD(676, 123) = ( 676 x 123 ) / 83148

= 676 / 123

= 676


Step2:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1


Step3:

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

= 1 / 858

= 1


So, Greatest Common Divisor of 676, 123, 465, 858 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 123, 465, 858

Given numbers are 676, 123, 465, 858
The greatest common divisor of numbers 676, 123, 465, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 123, 465, 858 is 1.

FAQs on GCD of 676, 123, 465, 858 Calculator

1. What is the GCD of 676, 123, 465, 858?

GCD of given numbers 676, 123, 465, 858 is 1


2. How to calculate the greatest common divisor of 676, 123, 465, 858?

We can find the highest common divisor of 676, 123, 465, 858 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 676, 123, 465, 858 i.e 1.


3. How can I use the GCD of 676, 123, 465, 858Calculator?

Out the numbers 676, 123, 465, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.