Greatest Common Factor of 9680/840, 7149/8908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9680/840, 7149/8908

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 9680/840,7149/8908

Given fractions are 9680/840,7149/8908

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 9680,7149

Greatest Common Factor of Numerators i.e. GCF of 9680,7149 is 1 .

LCM of Denominators means LCM of 840,8908 as per the given fractions.

LCM of 840,8908 is 1870680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9680,7149

GCF of Fractions 9680/840,7149/8908 is 1/1870680

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

Greatest Common Factor of 9680,7149 By Matching Biggest Common Factor Method

Greatest Common Factor of 9680,7149 By Matching Biggest Common Factor Method

Factors of 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Greatest Common Factor

We found the factors 9680,7149 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,7149 is 1.

Lets's calculate LCM of 840,8908

2 840, 8908
2 420, 4454
210, 2227

∴ So the LCM of the given numbers is 2 x 2 x 210 x 2227 = 1870680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1870680

Therefore, the GCF of Fractions 9680/840,7149/8908 is 1/1870680

Least Common Multiple of 840,8908 with GCF Formula

Least Common Multiple of 840,8908 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 840,8908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,8908) = 4

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

GCF(840,8908) x common factors =4 x 1 = 4

LCM(840,8908) = ( 840 × 8908 ) / 4

LCM(840,8908) = 7482720 / 4

LCM(840,8908) = 1870680


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 9680/840, 7149/8908

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 9680/840, 7149/8908?

Answer: GCF of Numerators as per given numbers 9680/840, 7149/8908 is

GCF of Numerators i.e. for 9680,7149 is 1

LCM of denominators i.e. for 840,8908 is 1870680.

Thus, GCF of Fractions is 1/1870680.Finally, GCF of Fractions for 9680/840, 7149/8908 is 1/1870680.