Greatest Common Factor of 7988/840, 9498/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7988/840, 9498/340

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 7988/840,9498/340

Given fractions are 7988/840,9498/340

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 7988,9498

Greatest Common Factor of Numerators i.e. GCF of 7988,9498 is 2 .

LCM of Denominators means LCM of 840,340 as per the given fractions.

LCM of 840,340 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7988,9498

GCF of Fractions 7988/840,9498/340 is 2/14280

2 7988, 9498
3994, 4749

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

Greatest Common Factor of 7988,9498 By Matching Biggest Common Factor Method

Greatest Common Factor of 7988,9498 By Matching Biggest Common Factor Method

Factors of 7988

List of positive integer factors of 7988 that divides 7988 without a remainder.

1,2,4,1997,3994,7988

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Greatest Common Factor

We found the factors 7988,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 7988,9498 is 2.

Lets's calculate LCM of 840,340

2 840, 340
2 420, 170
5 210, 85
42, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 42 x 17 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14280

Therefore, the GCF of Fractions 7988/840,9498/340 is 2/14280

Least Common Multiple of 840,340 with GCF Formula

Least Common Multiple of 840,340 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 840,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,340) = 20

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

GCF(840,340) x common factors =20 x 1 = 20

LCM(840,340) = ( 840 × 340 ) / 20

LCM(840,340) = 285600 / 20

LCM(840,340) = 14280


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 7988/840, 9498/340

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 7988/840, 9498/340?

Answer: GCF of Numerators as per given numbers 7988/840, 9498/340 is

GCF of Numerators i.e. for 7988,9498 is 2

LCM of denominators i.e. for 840,340 is 14280.

Thus, GCF of Fractions is 2/14280.Finally, GCF of Fractions for 7988/840, 9498/340 is 2/14280.