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GCD of 857, 106, 500, 685 Calculator

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


Online GCD Calculator is useful to find the GCD of 857, 106, 500, 685 quickly. Get the easiest ways to solve the greatest common divisor of 857, 106, 500, 685 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 857, 106, 500, 685 with Factoring?

Given Input numbers are 857, 106, 500, 685

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

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685


GCD of numbers is the greatest common divisor

So, the GCD (857, 106, 500, 685) = 1.

Find GCD of 857, 106, 500, 685 using Prime Factorization

Given numbers are 857, 106, 500, 685

The list of prime factors of all numbers are

Prime factors of 857 are 857

Prime factors of 106 are 2 x 53

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 685 are 5 x 137

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

Steps to Calculate GCD of 857, 106, 500, 685 using LCM Formula

Given numbers are 857, 106, 500, 685

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

Apply this formula for all numbers.

Step1:

LCM(857, 106) = 90842

GCD(857, 106) = ( 857 x 106 ) / 90842

= 857 / 106

= 857


Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


Step3:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1


So, Greatest Common Divisor of 857, 106, 500, 685 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 857, 106, 500, 685

Given numbers are 857, 106, 500, 685
The greatest common divisor of numbers 857, 106, 500, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 857, 106, 500, 685 is 1.

FAQs on GCD of 857, 106, 500, 685 Calculator

1. What is the GCD of 857, 106, 500, 685?

GCD of given numbers 857, 106, 500, 685 is 1


2. How to calculate the greatest common divisor of 857, 106, 500, 685?

We can find the highest common divisor of 857, 106, 500, 685 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 857, 106, 500, 685 i.e 1.


3. How can I use the GCD of 857, 106, 500, 685Calculator?

Out the numbers 857, 106, 500, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.