Greatest Common Factor of 8602/280, 6923/8060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8602/280, 6923/8060

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 8602/280,6923/8060

Given fractions are 8602/280,6923/8060

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 8602,6923

Greatest Common Factor of Numerators i.e. GCF of 8602,6923 is 23 .

LCM of Denominators means LCM of 280,8060 as per the given fractions.

LCM of 280,8060 is 112840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8602,6923

GCF of Fractions 8602/280,6923/8060 is 23/112840

23 8602, 6923
374, 301

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8602,6923 By Matching Biggest Common Factor Method

Greatest Common Factor of 8602,6923 By Matching Biggest Common Factor Method

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1,7,23,43,161,301,989,6923

Greatest Common Factor

We found the factors 8602,6923 . The biggest common factor number is the GCF number.
So the greatest common factor 8602,6923 is 23.

Lets's calculate LCM of 280,8060

2 280, 8060
2 140, 4030
5 70, 2015
14, 403

∴ So the LCM of the given numbers is 2 x 2 x 5 x 14 x 403 = 112840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/112840

Therefore, the GCF of Fractions 8602/280,6923/8060 is 23/112840

Least Common Multiple of 280,8060 with GCF Formula

Least Common Multiple of 280,8060 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 280,8060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,8060) = 20

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

GCF(280,8060) x common factors =20 x 1 = 20

LCM(280,8060) = ( 280 × 8060 ) / 20

LCM(280,8060) = 2256800 / 20

LCM(280,8060) = 112840


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8602/280, 6923/8060

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 8602/280, 6923/8060?

Answer: GCF of Numerators as per given numbers 8602/280, 6923/8060 is

GCF of Numerators i.e. for 8602,6923 is 23

LCM of denominators i.e. for 280,8060 is 112840.

Thus, GCF of Fractions is 23/112840.Finally, GCF of Fractions for 8602/280, 6923/8060 is 23/112840.