Greatest Common Factor of 3/98, 64/34, 93/517, 172/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3/98, 64/34, 93/517, 172/424

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 3/98,64/34,93/517,172/424

Given fractions are 3/98,64/34,93/517,172/424

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 3,64,93,172

Greatest Common Factor of Numerators i.e. GCF of 3,64,93,172 is 1 .

LCM of Denominators means LCM of 98,34,517,424 as per the given fractions.

LCM of 98,34,517,424 is 182600264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,64,93,172

GCF of Fractions 3/98,64/34,93/517,172/424 is 1/182600264

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

Greatest Common Factor of 3,64,93,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,64,93,172 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 3,64,93,172 . The biggest common factor number is the GCF number.
So the greatest common factor 3,64,93,172 is 1.


Lets's calculate LCM of 98,34,517,424

2 98, 34, 517, 424
49, 17, 517, 212

∴ So the LCM of the given numbers is 2 x 49 x 17 x 517 x 212 = 182600264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182600264

Therefore, the GCF of Fractions 3/98,64/34,93/517,172/424 is 1/182600264

Least Common Multiple of 98,34,517,424 with GCF Formula

Least Common Multiple of 98,34,517,424 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 98,34,517,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,34,517,424) = 1

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

GCF(98,34,517,424) x common factors =1 x 4 = 4

LCM(98,34,517,424) = ( 98 × 34 × 517 × 424 ) / 4

LCM(98,34,517,424) = 730401056 / 4

LCM(98,34,517,424) = 182600264


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3/98, 64/34, 93/517, 172/424

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 3/98, 64/34, 93/517, 172/424?

Answer: GCF of Numerators as per given numbers 3/98, 64/34, 93/517, 172/424 is

GCF of Numerators i.e. for 3,64,93,172 is 1

LCM of denominators i.e. for 98,34,517,424 is 182600264.

Thus, GCF of Fractions is 1/182600264.Finally, GCF of Fractions for 3/98, 64/34, 93/517, 172/424 is 1/182600264.