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GCD of 350, 149, 578, 180 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 149, 578, 180 quickly. Get the easiest ways to solve the greatest common divisor of 350, 149, 578, 180 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 149, 578, 180 with Factoring?

Given Input numbers are 350, 149, 578, 180

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

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


GCD of numbers is the greatest common divisor

So, the GCD (350, 149, 578, 180) = 1.

Find GCD of 350, 149, 578, 180 using Prime Factorization

Given numbers are 350, 149, 578, 180

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 149 are 149

Prime factors of 578 are 2 x 17 x 17

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

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

Steps to Calculate GCD of 350, 149, 578, 180 using LCM Formula

Given numbers are 350, 149, 578, 180

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

Apply this formula for all numbers.

Step1:

LCM(350, 149) = 52150

GCD(350, 149) = ( 350 x 149 ) / 52150

= 350 / 149

= 350


Step2:

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

= 1 / 578

= 1


Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1


So, Greatest Common Divisor of 350, 149, 578, 180 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 149, 578, 180

Given numbers are 350, 149, 578, 180
The greatest common divisor of numbers 350, 149, 578, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 149, 578, 180 is 1.

FAQs on GCD of 350, 149, 578, 180 Calculator

1. What is the GCD of 350, 149, 578, 180?

GCD of given numbers 350, 149, 578, 180 is 1


2. How to calculate the greatest common divisor of 350, 149, 578, 180?

We can find the highest common divisor of 350, 149, 578, 180 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 350, 149, 578, 180 i.e 1.


3. How can I use the GCD of 350, 149, 578, 180Calculator?

Out the numbers 350, 149, 578, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.