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GCD of 342, 254, 120, 245 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 254, 120, 245 quickly. Get the easiest ways to solve the greatest common divisor of 342, 254, 120, 245 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 254, 120, 245 with Factoring?

Given Input numbers are 342, 254, 120, 245

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

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 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245


GCD of numbers is the greatest common divisor

So, the GCD (342, 254, 120, 245) = 1.

Find GCD of 342, 254, 120, 245 using Prime Factorization

Given numbers are 342, 254, 120, 245

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 254 are 2 x 127

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

Prime factors of 245 are 5 x 7 x 7

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

Steps to Calculate GCD of 342, 254, 120, 245 using LCM Formula

Given numbers are 342, 254, 120, 245

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

Apply this formula for all numbers.

Step1:

LCM(342, 254) = 43434

GCD(342, 254) = ( 342 x 254 ) / 43434

= 342 / 254

= 342


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

= 2 / 245

= 2


So, Greatest Common Divisor of 342, 254, 120, 245 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 254, 120, 245

Given numbers are 342, 254, 120, 245
The greatest common divisor of numbers 342, 254, 120, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 254, 120, 245 is 1.

FAQs on GCD of 342, 254, 120, 245 Calculator

1. What is the GCD of 342, 254, 120, 245?

GCD of given numbers 342, 254, 120, 245 is 1


2. How to calculate the greatest common divisor of 342, 254, 120, 245?

We can find the highest common divisor of 342, 254, 120, 245 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 342, 254, 120, 245 i.e 1.


3. How can I use the GCD of 342, 254, 120, 245Calculator?

Out the numbers 342, 254, 120, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.