Greatest Common Factor of 7/68, 31/924, 98/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/68, 31/924, 98/172

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 7/68,31/924,98/172

Given fractions are 7/68,31/924,98/172

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 7,31,98

Greatest Common Factor of Numerators i.e. GCF of 7,31,98 is 1 .

LCM of Denominators means LCM of 68,924,172 as per the given fractions.

LCM of 68,924,172 is 675444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,31,98

GCF of Fractions 7/68,31/924,98/172 is 1/675444

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

Greatest Common Factor of 7,31,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,31,98 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 7,31,98 . The biggest common factor number is the GCF number.
So the greatest common factor 7,31,98 is 1.

Lets's calculate LCM of 68,924,172

2 68, 924, 172
2 34, 462, 86
17, 231, 43

∴ So the LCM of the given numbers is 2 x 2 x 17 x 231 x 43 = 675444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675444

Therefore, the GCF of Fractions 7/68,31/924,98/172 is 1/675444

Least Common Multiple of 68,924,172 with GCF Formula

Least Common Multiple of 68,924,172 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 68,924,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,924,172) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(68,924,172) x common factors =4 x 4 = 16

LCM(68,924,172) = ( 68 × 924 × 172 ) / 16

LCM(68,924,172) = 10807104 / 16

LCM(68,924,172) = 675444


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 7/68, 31/924, 98/172

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 7/68, 31/924, 98/172?

Answer: GCF of Numerators as per given numbers 7/68, 31/924, 98/172 is

GCF of Numerators i.e. for 7,31,98 is 1

LCM of denominators i.e. for 68,924,172 is 675444.

Thus, GCF of Fractions is 1/675444.Finally, GCF of Fractions for 7/68, 31/924, 98/172 is 1/675444.