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GCD of 361, 120, 194, 654 Calculator

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


Online GCD Calculator is useful to find the GCD of 361, 120, 194, 654 quickly. Get the easiest ways to solve the greatest common divisor of 361, 120, 194, 654 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 361, 120, 194, 654 with Factoring?

Given Input numbers are 361, 120, 194, 654

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654


GCD of numbers is the greatest common divisor

So, the GCD (361, 120, 194, 654) = 1.

Find GCD of 361, 120, 194, 654 using Prime Factorization

Given numbers are 361, 120, 194, 654

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 194 are 2 x 97

Prime factors of 654 are 2 x 3 x 109

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

Steps to Calculate GCD of 361, 120, 194, 654 using LCM Formula

Given numbers are 361, 120, 194, 654

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

Apply this formula for all numbers.

Step1:

LCM(361, 120) = 43320

GCD(361, 120) = ( 361 x 120 ) / 43320

= 361 / 120

= 361


Step2:

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

= 1 / 194

= 1


Step3:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1


So, Greatest Common Divisor of 361, 120, 194, 654 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 361, 120, 194, 654

Given numbers are 361, 120, 194, 654
The greatest common divisor of numbers 361, 120, 194, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 120, 194, 654 is 1.

FAQs on GCD of 361, 120, 194, 654 Calculator

1. What is the GCD of 361, 120, 194, 654?

GCD of given numbers 361, 120, 194, 654 is 1


2. How to calculate the greatest common divisor of 361, 120, 194, 654?

We can find the highest common divisor of 361, 120, 194, 654 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 361, 120, 194, 654 i.e 1.


3. How can I use the GCD of 361, 120, 194, 654Calculator?

Out the numbers 361, 120, 194, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.