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GCD of 382, 652, 610, 840 Calculator

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


Online GCD Calculator is useful to find the GCD of 382, 652, 610, 840 quickly. Get the easiest ways to solve the greatest common divisor of 382, 652, 610, 840 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 382, 652, 610, 840 with Factoring?

Given Input numbers are 382, 652, 610, 840

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

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


GCD of numbers is the greatest common divisor

So, the GCD (382, 652, 610, 840) = 2.

Find GCD of 382, 652, 610, 840 using Prime Factorization

Given numbers are 382, 652, 610, 840

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 652 are 2 x 2 x 163

Prime factors of 610 are 2 x 5 x 61

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

The highest common occurrence is 21

Therefore, GCD of 382, 652, 610, 840 is 2.

Steps to Calculate GCD of 382, 652, 610, 840 using LCM Formula

Given numbers are 382, 652, 610, 840

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

Apply this formula for all numbers.

Step1:

LCM(382, 652) = 124532

GCD(382, 652) = ( 382 x 652 ) / 124532

= 382 / 652

= 382


Step2:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2


Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2


So, Greatest Common Divisor of 382, 652, 610, 840 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 382, 652, 610, 840

Given numbers are 382, 652, 610, 840
The greatest common divisor of numbers 382, 652, 610, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 652, 610, 840 is 2.

FAQs on GCD of 382, 652, 610, 840 Calculator

1. What is the GCD of 382, 652, 610, 840?

GCD of given numbers 382, 652, 610, 840 is 2


2. How to calculate the greatest common divisor of 382, 652, 610, 840?

We can find the highest common divisor of 382, 652, 610, 840 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 382, 652, 610, 840 i.e 2.


3. How can I use the GCD of 382, 652, 610, 840Calculator?

Out the numbers 382, 652, 610, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.