Greatest Common Factor of 311/48, 919/56, 185/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 311/48, 919/56, 185/379

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 311/48,919/56,185/379

Given fractions are 311/48,919/56,185/379

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 311,919,185

Greatest Common Factor of Numerators i.e. GCF of 311,919,185 is 1 .

LCM of Denominators means LCM of 48,56,379 as per the given fractions.

LCM of 48,56,379 is 127344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 311,919,185

GCF of Fractions 311/48,919/56,185/379 is 1/127344

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

Greatest Common Factor of 311,919,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,919,185 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 311,919,185 . The biggest common factor number is the GCF number.
So the greatest common factor 311,919,185 is 1.

Lets's calculate LCM of 48,56,379

2 48, 56, 379
2 24, 28, 379
2 12, 14, 379
6, 7, 379

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 7 x 379 = 127344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127344

Therefore, the GCF of Fractions 311/48,919/56,185/379 is 1/127344

Least Common Multiple of 48,56,379 with GCF Formula

Least Common Multiple of 48,56,379 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 48,56,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,56,379) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(48,56,379) x common factors =1 x 8 = 8

LCM(48,56,379) = ( 48 × 56 × 379 ) / 8

LCM(48,56,379) = 1018752 / 8

LCM(48,56,379) = 127344


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 311/48, 919/56, 185/379

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 311/48, 919/56, 185/379?

Answer: GCF of Numerators as per given numbers 311/48, 919/56, 185/379 is

GCF of Numerators i.e. for 311,919,185 is 1

LCM of denominators i.e. for 48,56,379 is 127344.

Thus, GCF of Fractions is 1/127344.Finally, GCF of Fractions for 311/48, 919/56, 185/379 is 1/127344.