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GCD of 850, 874, 650, 460 Calculator

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


Online GCD Calculator is useful to find the GCD of 850, 874, 650, 460 quickly. Get the easiest ways to solve the greatest common divisor of 850, 874, 650, 460 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 850, 874, 650, 460 with Factoring?

Given Input numbers are 850, 874, 650, 460

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460


GCD of numbers is the greatest common divisor

So, the GCD (850, 874, 650, 460) = 2.

Find GCD of 850, 874, 650, 460 using Prime Factorization

Given numbers are 850, 874, 650, 460

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 874 are 2 x 19 x 23

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 850, 874, 650, 460 is 2.

Steps to Calculate GCD of 850, 874, 650, 460 using LCM Formula

Given numbers are 850, 874, 650, 460

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

Apply this formula for all numbers.

Step1:

LCM(850, 874) = 371450

GCD(850, 874) = ( 850 x 874 ) / 371450

= 850 / 874

= 850


Step2:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2


Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2


So, Greatest Common Divisor of 850, 874, 650, 460 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 850, 874, 650, 460

Given numbers are 850, 874, 650, 460
The greatest common divisor of numbers 850, 874, 650, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 874, 650, 460 is 2.

FAQs on GCD of 850, 874, 650, 460 Calculator

1. What is the GCD of 850, 874, 650, 460?

GCD of given numbers 850, 874, 650, 460 is 2


2. How to calculate the greatest common divisor of 850, 874, 650, 460?

We can find the highest common divisor of 850, 874, 650, 460 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 850, 874, 650, 460 i.e 2.


3. How can I use the GCD of 850, 874, 650, 460Calculator?

Out the numbers 850, 874, 650, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.