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GCD of 180, 778, 890, 146 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 778, 890, 146 quickly. Get the easiest ways to solve the greatest common divisor of 180, 778, 890, 146 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 778, 890, 146 with Factoring?

Given Input numbers are 180, 778, 890, 146

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 890 :

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

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (180, 778, 890, 146) = 2.

Find GCD of 180, 778, 890, 146 using Prime Factorization

Given numbers are 180, 778, 890, 146

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 778 are 2 x 389

Prime factors of 890 are 2 x 5 x 89

Prime factors of 146 are 2 x 73

The highest common occurrence is 21

Therefore, GCD of 180, 778, 890, 146 is 2.

Steps to Calculate GCD of 180, 778, 890, 146 using LCM Formula

Given numbers are 180, 778, 890, 146

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

Apply this formula for all numbers.

Step1:

LCM(180, 778) = 70020

GCD(180, 778) = ( 180 x 778 ) / 70020

= 180 / 778

= 180


Step2:

LCM(2, 890) = 890

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

= 2 / 890

= 2


Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2


So, Greatest Common Divisor of 180, 778, 890, 146 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 778, 890, 146

Given numbers are 180, 778, 890, 146
The greatest common divisor of numbers 180, 778, 890, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 778, 890, 146 is 2.

FAQs on GCD of 180, 778, 890, 146 Calculator

1. What is the GCD of 180, 778, 890, 146?

GCD of given numbers 180, 778, 890, 146 is 2


2. How to calculate the greatest common divisor of 180, 778, 890, 146?

We can find the highest common divisor of 180, 778, 890, 146 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 180, 778, 890, 146 i.e 2.


3. How can I use the GCD of 180, 778, 890, 146Calculator?

Out the numbers 180, 778, 890, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.