Greatest Common Factor of 357/54, 790/77, 345/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/54, 790/77, 345/296

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 357/54,790/77,345/296

Given fractions are 357/54,790/77,345/296

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 357,790,345

Greatest Common Factor of Numerators i.e. GCF of 357,790,345 is 1 .

LCM of Denominators means LCM of 54,77,296 as per the given fractions.

LCM of 54,77,296 is 615384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,790,345

GCF of Fractions 357/54,790/77,345/296 is 1/615384

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 357,790,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,790,345 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 357,790,345 . The biggest common factor number is the GCF number.
So the greatest common factor 357,790,345 is 1.

Lets's calculate LCM of 54,77,296

2 54, 77, 296
27, 77, 148

∴ So the LCM of the given numbers is 2 x 27 x 77 x 148 = 615384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615384

Therefore, the GCF of Fractions 357/54,790/77,345/296 is 1/615384

Least Common Multiple of 54,77,296 with GCF Formula

Least Common Multiple of 54,77,296 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,77,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,77,296) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,77,296) x common factors =1 x 2 = 2

LCM(54,77,296) = ( 54 × 77 × 296 ) / 2

LCM(54,77,296) = 1230768 / 2

LCM(54,77,296) = 615384


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 357/54, 790/77, 345/296

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 357/54, 790/77, 345/296?

Answer: GCF of Numerators as per given numbers 357/54, 790/77, 345/296 is

GCF of Numerators i.e. for 357,790,345 is 1

LCM of denominators i.e. for 54,77,296 is 615384.

Thus, GCF of Fractions is 1/615384.Finally, GCF of Fractions for 357/54, 790/77, 345/296 is 1/615384.