Greatest Common Factor of 424/159, 344/174, 602/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/159, 344/174, 602/248

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 424/159,344/174,602/248

Given fractions are 424/159,344/174,602/248

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 424,344,602

Greatest Common Factor of Numerators i.e. GCF of 424,344,602 is 2 .

LCM of Denominators means LCM of 159,174,248 as per the given fractions.

LCM of 159,174,248 is 1143528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,344,602

GCF of Fractions 424/159,344/174,602/248 is 2/1143528

2 424, 344, 602
212, 172, 301

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 424,344,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,344,602 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 424,344,602 . The biggest common factor number is the GCF number.
So the greatest common factor 424,344,602 is 2.

Lets's calculate LCM of 159,174,248

2 159, 174, 248
3 159, 87, 124
53, 29, 124

∴ So the LCM of the given numbers is 2 x 3 x 53 x 29 x 124 = 1143528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1143528

Therefore, the GCF of Fractions 424/159,344/174,602/248 is 2/1143528

Least Common Multiple of 159,174,248 with GCF Formula

Least Common Multiple of 159,174,248 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 159,174,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,174,248) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(159,174,248) x common factors =1 x 6 = 6

LCM(159,174,248) = ( 159 × 174 × 248 ) / 6

LCM(159,174,248) = 6861168 / 6

LCM(159,174,248) = 1143528


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 424/159, 344/174, 602/248

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 424/159, 344/174, 602/248?

Answer: GCF of Numerators as per given numbers 424/159, 344/174, 602/248 is

GCF of Numerators i.e. for 424,344,602 is 2

LCM of denominators i.e. for 159,174,248 is 1143528.

Thus, GCF of Fractions is 2/1143528.Finally, GCF of Fractions for 424/159, 344/174, 602/248 is 2/1143528.