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GCD of 840, 213, 325, 242 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, 213, 325, 242 quickly. Get the easiest ways to solve the greatest common divisor of 840, 213, 325, 242 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 213, 325, 242 with Factoring?

Given Input numbers are 840, 213, 325, 242

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (840, 213, 325, 242) = 1.

Find GCD of 840, 213, 325, 242 using Prime Factorization

Given numbers are 840, 213, 325, 242

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 213 are 3 x 71

Prime factors of 325 are 5 x 5 x 13

Prime factors of 242 are 2 x 11 x 11

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

Steps to Calculate GCD of 840, 213, 325, 242 using LCM Formula

Given numbers are 840, 213, 325, 242

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

Apply this formula for all numbers.

Step1:

LCM(840, 213) = 59640

GCD(840, 213) = ( 840 x 213 ) / 59640

= 840 / 213

= 840


Step2:

LCM(3, 325) = 975

GCD(3, 325) = ( 3 x 325 ) / 975

= 3 / 325

= 3


Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1


So, Greatest Common Divisor of 840, 213, 325, 242 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 213, 325, 242

Given numbers are 840, 213, 325, 242
The greatest common divisor of numbers 840, 213, 325, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 213, 325, 242 is 1.

FAQs on GCD of 840, 213, 325, 242 Calculator

1. What is the GCD of 840, 213, 325, 242?

GCD of given numbers 840, 213, 325, 242 is 1


2. How to calculate the greatest common divisor of 840, 213, 325, 242?

We can find the highest common divisor of 840, 213, 325, 242 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, 213, 325, 242 i.e 1.


3. How can I use the GCD of 840, 213, 325, 242Calculator?

Out the numbers 840, 213, 325, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.