Greatest Common Factor of 602/172, 7342/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 602/172, 7342/320

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 602/172,7342/320

Given fractions are 602/172,7342/320

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 602,7342

Greatest Common Factor of Numerators i.e. GCF of 602,7342 is 2 .

LCM of Denominators means LCM of 172,320 as per the given fractions.

LCM of 172,320 is 13760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 602,7342

GCF of Fractions 602/172,7342/320 is 2/13760

2 602, 7342
301, 3671

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

Greatest Common Factor of 602,7342 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,7342 By Matching Biggest Common Factor Method

Factors of 602

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

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

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1,2,3671,7342

Greatest Common Factor

We found the factors 602,7342 . The biggest common factor number is the GCF number.
So the greatest common factor 602,7342 is 2.

Lets's calculate LCM of 172,320

2 172, 320
2 86, 160
43, 80

∴ So the LCM of the given numbers is 2 x 2 x 43 x 80 = 13760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13760

Therefore, the GCF of Fractions 602/172,7342/320 is 2/13760

Least Common Multiple of 172,320 with GCF Formula

Least Common Multiple of 172,320 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 172,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,320) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(172,320) x common factors =4 x 1 = 4

LCM(172,320) = ( 172 × 320 ) / 4

LCM(172,320) = 55040 / 4

LCM(172,320) = 13760


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 602/172, 7342/320

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 602/172, 7342/320?

Answer: GCF of Numerators as per given numbers 602/172, 7342/320 is

GCF of Numerators i.e. for 602,7342 is 2

LCM of denominators i.e. for 172,320 is 13760.

Thus, GCF of Fractions is 2/13760.Finally, GCF of Fractions for 602/172, 7342/320 is 2/13760.