Greatest Common Factor of 7/32, 17/54, 91/312, 838/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/32, 17/54, 91/312, 838/934

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 7/32,17/54,91/312,838/934

Given fractions are 7/32,17/54,91/312,838/934

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 7,17,91,838

Greatest Common Factor of Numerators i.e. GCF of 7,17,91,838 is 1 .

LCM of Denominators means LCM of 32,54,312,934 as per the given fractions.

LCM of 32,54,312,934 is 5245344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,17,91,838

GCF of Fractions 7/32,17/54,91/312,838/934 is 1/5245344

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

Greatest Common Factor of 7,17,91,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,17,91,838 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 7,17,91,838 . The biggest common factor number is the GCF number.
So the greatest common factor 7,17,91,838 is 1.

Lets's calculate LCM of 32,54,312,934

2 32, 54, 312, 934
2 16, 27, 156, 467
2 8, 27, 78, 467
3 4, 27, 39, 467
4, 9, 13, 467

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 9 x 13 x 467 = 5245344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5245344

Therefore, the GCF of Fractions 7/32,17/54,91/312,838/934 is 1/5245344

Least Common Multiple of 32,54,312,934 with GCF Formula

Least Common Multiple of 32,54,312,934 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 32,54,312,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,54,312,934) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(32,54,312,934) x common factors =2 x 48 = 96

LCM(32,54,312,934) = ( 32 × 54 × 312 × 934 ) / 96

LCM(32,54,312,934) = 503553024 / 96

LCM(32,54,312,934) = 5245344


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 7/32, 17/54, 91/312, 838/934

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 7/32, 17/54, 91/312, 838/934?

Answer: GCF of Numerators as per given numbers 7/32, 17/54, 91/312, 838/934 is

GCF of Numerators i.e. for 7,17,91,838 is 1

LCM of denominators i.e. for 32,54,312,934 is 5245344.

Thus, GCF of Fractions is 1/5245344.Finally, GCF of Fractions for 7/32, 17/54, 91/312, 838/934 is 1/5245344.