Greatest Common Factor of 931/18, 948/13, 704/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/18, 948/13, 704/306

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 931/18,948/13,704/306

Given fractions are 931/18,948/13,704/306

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 931,948,704

Greatest Common Factor of Numerators i.e. GCF of 931,948,704 is 1 .

LCM of Denominators means LCM of 18,13,306 as per the given fractions.

LCM of 18,13,306 is 3978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,948,704

GCF of Fractions 931/18,948/13,704/306 is 1/3978

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

Greatest Common Factor of 931,948,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,948,704 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 931,948,704 . The biggest common factor number is the GCF number.
So the greatest common factor 931,948,704 is 1.

Lets's calculate LCM of 18,13,306

2 18, 13, 306
3 9, 13, 153
3 3, 13, 51
1, 13, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 13 x 17 = 3978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3978

Therefore, the GCF of Fractions 931/18,948/13,704/306 is 1/3978

Least Common Multiple of 18,13,306 with GCF Formula

Least Common Multiple of 18,13,306 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 18,13,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,13,306) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,13,306) x common factors =1 x 18 = 18

LCM(18,13,306) = ( 18 × 13 × 306 ) / 18

LCM(18,13,306) = 71604 / 18

LCM(18,13,306) = 3978


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 931/18, 948/13, 704/306

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 931/18, 948/13, 704/306?

Answer: GCF of Numerators as per given numbers 931/18, 948/13, 704/306 is

GCF of Numerators i.e. for 931,948,704 is 1

LCM of denominators i.e. for 18,13,306 is 3978.

Thus, GCF of Fractions is 1/3978.Finally, GCF of Fractions for 931/18, 948/13, 704/306 is 1/3978.