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GCD of 358, 140, 240 Calculator

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


Online GCD Calculator is useful to find the GCD of 358, 140, 240 quickly. Get the easiest ways to solve the greatest common divisor of 358, 140, 240 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 358, 140, 240 with Factoring?

Given Input numbers are 358, 140, 240

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240


GCD of numbers is the greatest common divisor

So, the GCD (358, 140, 240) = 2.

Find GCD of 358, 140, 240 using Prime Factorization

Given numbers are 358, 140, 240

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 358, 140, 240 is 2.

Steps to Calculate GCD of 358, 140, 240 using LCM Formula

Given numbers are 358, 140, 240

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

Apply this formula for all numbers.

Step1:

LCM(358, 140) = 25060

GCD(358, 140) = ( 358 x 140 ) / 25060

= 358 / 140

= 358


Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2


So, Greatest Common Divisor of 358, 140, 240 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 358, 140, 240

Given numbers are 358, 140, 240
The greatest common divisor of numbers 358, 140, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 140, 240 is 2.

FAQs on GCD of 358, 140, 240 Calculator

1. What is the GCD of 358, 140, 240?

GCD of given numbers 358, 140, 240 is 2


2. How to calculate the greatest common divisor of 358, 140, 240?

We can find the highest common divisor of 358, 140, 240 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 358, 140, 240 i.e 2.


3. How can I use the GCD of 358, 140, 240Calculator?

Out the numbers 358, 140, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.