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GCD of 378, 898, 844, 158 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 898, 844, 158 quickly. Get the easiest ways to solve the greatest common divisor of 378, 898, 844, 158 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 898, 844, 158 with Factoring?

Given Input numbers are 378, 898, 844, 158

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158


GCD of numbers is the greatest common divisor

So, the GCD (378, 898, 844, 158) = 2.

Find GCD of 378, 898, 844, 158 using Prime Factorization

Given numbers are 378, 898, 844, 158

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 898 are 2 x 449

Prime factors of 844 are 2 x 2 x 211

Prime factors of 158 are 2 x 79

The highest common occurrence is 21

Therefore, GCD of 378, 898, 844, 158 is 2.

Steps to Calculate GCD of 378, 898, 844, 158 using LCM Formula

Given numbers are 378, 898, 844, 158

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

Apply this formula for all numbers.

Step1:

LCM(378, 898) = 169722

GCD(378, 898) = ( 378 x 898 ) / 169722

= 378 / 898

= 378


Step2:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2


Step3:

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

= 2 / 158

= 2


So, Greatest Common Divisor of 378, 898, 844, 158 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 898, 844, 158

Given numbers are 378, 898, 844, 158
The greatest common divisor of numbers 378, 898, 844, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 898, 844, 158 is 2.

FAQs on GCD of 378, 898, 844, 158 Calculator

1. What is the GCD of 378, 898, 844, 158?

GCD of given numbers 378, 898, 844, 158 is 2


2. How to calculate the greatest common divisor of 378, 898, 844, 158?

We can find the highest common divisor of 378, 898, 844, 158 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 378, 898, 844, 158 i.e 2.


3. How can I use the GCD of 378, 898, 844, 158Calculator?

Out the numbers 378, 898, 844, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.