Where do I get the detailed procedure to find GCD of 140, 254, 120?

You can find a detailed procedure to find GCD of 140, 254, 120 on our page.

How to find GCD of 140, 254, 120 on a calculator?

You can find the GCD of 140, 254, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 140, 254, 120 Calculator

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

Online GCD Calculator is useful to find the GCD of 140, 254, 120 quickly. Get the easiest ways to solve the greatest common divisor of 140, 254, 120 i.e 2 in different methods as follows.

How to Find GCD of Numbers 140, 254, 120 with Factoring?

Given Input numbers are 140, 254, 120

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 254, 120) = 2.

Find GCD of 140, 254, 120 using Prime Factorization

Given numbers are 140, 254, 120

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 254 are 2 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 140, 254, 120 is 2.

Steps to Calculate GCD of 140, 254, 120 using LCM Formula

Given numbers are 140, 254, 120

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

Apply this formula for all numbers.

Step1:

LCM(140, 254) = 17780

GCD(140, 254) = ( 140 x 254 ) / 17780

= 140 / 254

= 140

Step2:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 140, 254, 120 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 140, 254, 120

Given numbers are 140, 254, 120
The greatest common divisor of numbers 140, 254, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 254, 120 is 2.

FAQs on GCD of 140, 254, 120 Calculator

1. What is the GCD of 140, 254, 120?

GCD of given numbers 140, 254, 120 is 2

2. How to calculate the greatest common divisor of 140, 254, 120?

We can find the highest common divisor of 140, 254, 120 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 140, 254, 120 i.e 2.

3. How can I use the GCD of 140, 254, 120Calculator?

Out the numbers 140, 254, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.