LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 840, 464, 650, 320 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 464, 650, 320 quickly. Get the easiest ways to solve the greatest common divisor of 840, 464, 650, 320 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 464, 650, 320 with Factoring?

Given Input numbers are 840, 464, 650, 320

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (840, 464, 650, 320) = 2.

Find GCD of 840, 464, 650, 320 using Prime Factorization

Given numbers are 840, 464, 650, 320

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 21

Therefore, GCD of 840, 464, 650, 320 is 2.

Steps to Calculate GCD of 840, 464, 650, 320 using LCM Formula

Given numbers are 840, 464, 650, 320

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

Apply this formula for all numbers.

Step1:

LCM(840, 464) = 48720

GCD(840, 464) = ( 840 x 464 ) / 48720

= 840 / 464

= 840


Step2:

LCM(8, 650) = 2600

GCD(8, 650) = ( 8 x 650 ) / 2600

= 8 / 650

= 8


Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


So, Greatest Common Divisor of 840, 464, 650, 320 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 464, 650, 320

Given numbers are 840, 464, 650, 320
The greatest common divisor of numbers 840, 464, 650, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 464, 650, 320 is 2.

FAQs on GCD of 840, 464, 650, 320 Calculator

1. What is the GCD of 840, 464, 650, 320?

GCD of given numbers 840, 464, 650, 320 is 2


2. How to calculate the greatest common divisor of 840, 464, 650, 320?

We can find the highest common divisor of 840, 464, 650, 320 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 840, 464, 650, 320 i.e 2.


3. How can I use the GCD of 840, 464, 650, 320Calculator?

Out the numbers 840, 464, 650, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.