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GCD of 120, 842, 137, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 842, 137, 382 quickly. Get the easiest ways to solve the greatest common divisor of 120, 842, 137, 382 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 842, 137, 382 with Factoring?

Given Input numbers are 120, 842, 137, 382

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

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 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (120, 842, 137, 382) = 1.

Find GCD of 120, 842, 137, 382 using Prime Factorization

Given numbers are 120, 842, 137, 382

The list of prime factors of all numbers are

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

Prime factors of 842 are 2 x 421

Prime factors of 137 are 137

Prime factors of 382 are 2 x 191

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

Steps to Calculate GCD of 120, 842, 137, 382 using LCM Formula

Given numbers are 120, 842, 137, 382

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

Apply this formula for all numbers.

Step1:

LCM(120, 842) = 50520

GCD(120, 842) = ( 120 x 842 ) / 50520

= 120 / 842

= 120


Step2:

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

= 2 / 137

= 2


Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


So, Greatest Common Divisor of 120, 842, 137, 382 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 842, 137, 382

Given numbers are 120, 842, 137, 382
The greatest common divisor of numbers 120, 842, 137, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 842, 137, 382 is 1.

FAQs on GCD of 120, 842, 137, 382 Calculator

1. What is the GCD of 120, 842, 137, 382?

GCD of given numbers 120, 842, 137, 382 is 1


2. How to calculate the greatest common divisor of 120, 842, 137, 382?

We can find the highest common divisor of 120, 842, 137, 382 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 120, 842, 137, 382 i.e 1.


3. How can I use the GCD of 120, 842, 137, 382Calculator?

Out the numbers 120, 842, 137, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.