Where do I get the detailed procedure to find GCD of 846, 120, 140?

You can find a detailed procedure to find GCD of 846, 120, 140 on our page.

How to find GCD of 846, 120, 140 on a calculator?

You can find the GCD of 846, 120, 140 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 846, 120, 140 Calculator

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

Online GCD Calculator is useful to find the GCD of 846, 120, 140 quickly. Get the easiest ways to solve the greatest common divisor of 846, 120, 140 i.e 2 in different methods as follows.

How to Find GCD of Numbers 846, 120, 140 with Factoring?

Given Input numbers are 846, 120, 140

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 140 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (846, 120, 140) = 2.

Find GCD of 846, 120, 140 using Prime Factorization

Given numbers are 846, 120, 140

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

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

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

The highest common occurrence is 2¹

Therefore, GCD of 846, 120, 140 is 2.

Steps to Calculate GCD of 846, 120, 140 using LCM Formula

Given numbers are 846, 120, 140

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

Apply this formula for all numbers.

Step1:

LCM(846, 120) = 16920

GCD(846, 120) = ( 846 x 120 ) / 16920

= 846 / 120

= 846

Step2:

LCM(6, 140) = 420

GCD(6, 140) = ( 6 x 140 ) / 420

= 6 / 140

= 6

So, Greatest Common Divisor of 846, 120, 140 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 846, 120, 140

Given numbers are 846, 120, 140
The greatest common divisor of numbers 846, 120, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 120, 140 is 2.

FAQs on GCD of 846, 120, 140 Calculator

1. What is the GCD of 846, 120, 140?

GCD of given numbers 846, 120, 140 is 2

2. How to calculate the greatest common divisor of 846, 120, 140?

We can find the highest common divisor of 846, 120, 140 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 846, 120, 140 i.e 2.

3. How can I use the GCD of 846, 120, 140Calculator?

Out the numbers 846, 120, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.