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GCD of 212, 142, 394, 890 Calculator

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


Online GCD Calculator is useful to find the GCD of 212, 142, 394, 890 quickly. Get the easiest ways to solve the greatest common divisor of 212, 142, 394, 890 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 212, 142, 394, 890 with Factoring?

Given Input numbers are 212, 142, 394, 890

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890


GCD of numbers is the greatest common divisor

So, the GCD (212, 142, 394, 890) = 2.

Find GCD of 212, 142, 394, 890 using Prime Factorization

Given numbers are 212, 142, 394, 890

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 142 are 2 x 71

Prime factors of 394 are 2 x 197

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 21

Therefore, GCD of 212, 142, 394, 890 is 2.

Steps to Calculate GCD of 212, 142, 394, 890 using LCM Formula

Given numbers are 212, 142, 394, 890

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

Apply this formula for all numbers.

Step1:

LCM(212, 142) = 15052

GCD(212, 142) = ( 212 x 142 ) / 15052

= 212 / 142

= 212


Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2


Step3:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2


So, Greatest Common Divisor of 212, 142, 394, 890 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 212, 142, 394, 890

Given numbers are 212, 142, 394, 890
The greatest common divisor of numbers 212, 142, 394, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 142, 394, 890 is 2.

FAQs on GCD of 212, 142, 394, 890 Calculator

1. What is the GCD of 212, 142, 394, 890?

GCD of given numbers 212, 142, 394, 890 is 2


2. How to calculate the greatest common divisor of 212, 142, 394, 890?

We can find the highest common divisor of 212, 142, 394, 890 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 212, 142, 394, 890 i.e 2.


3. How can I use the GCD of 212, 142, 394, 890Calculator?

Out the numbers 212, 142, 394, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.