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GCD of 858, 750, 315, 834 Calculator

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


Online GCD Calculator is useful to find the GCD of 858, 750, 315, 834 quickly. Get the easiest ways to solve the greatest common divisor of 858, 750, 315, 834 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 858, 750, 315, 834 with Factoring?

Given Input numbers are 858, 750, 315, 834

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

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (858, 750, 315, 834) = 3.

Find GCD of 858, 750, 315, 834 using Prime Factorization

Given numbers are 858, 750, 315, 834

The list of prime factors of all numbers are

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

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 31

Therefore, GCD of 858, 750, 315, 834 is 3.

Steps to Calculate GCD of 858, 750, 315, 834 using LCM Formula

Given numbers are 858, 750, 315, 834

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

Apply this formula for all numbers.

Step1:

LCM(858, 750) = 107250

GCD(858, 750) = ( 858 x 750 ) / 107250

= 858 / 750

= 858


Step2:

LCM(6, 315) = 630

GCD(6, 315) = ( 6 x 315 ) / 630

= 6 / 315

= 6


Step3:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3


So, Greatest Common Divisor of 858, 750, 315, 834 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 858, 750, 315, 834

Given numbers are 858, 750, 315, 834
The greatest common divisor of numbers 858, 750, 315, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 750, 315, 834 is 3.

FAQs on GCD of 858, 750, 315, 834 Calculator

1. What is the GCD of 858, 750, 315, 834?

GCD of given numbers 858, 750, 315, 834 is 3


2. How to calculate the greatest common divisor of 858, 750, 315, 834?

We can find the highest common divisor of 858, 750, 315, 834 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 858, 750, 315, 834 i.e 3.


3. How can I use the GCD of 858, 750, 315, 834Calculator?

Out the numbers 858, 750, 315, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.