Greatest Common Factor of 8784/93, 2872/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8784/93, 2872/801

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 8784/93,2872/801

Given fractions are 8784/93,2872/801

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 8784,2872

Greatest Common Factor of Numerators i.e. GCF of 8784,2872 is 8 .

LCM of Denominators means LCM of 93,801 as per the given fractions.

LCM of 93,801 is 24831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8784,2872

GCF of Fractions 8784/93,2872/801 is 8/24831

2 8784, 2872
2 4392, 1436
2 2196, 718
1098, 359

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8784,2872 By Matching Biggest Common Factor Method

Greatest Common Factor of 8784,2872 By Matching Biggest Common Factor Method

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors 8784,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 8784,2872 is 8.

Lets's calculate LCM of 93,801

3 93, 801
31, 267

∴ So the LCM of the given numbers is 3 x 31 x 267 = 24831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/24831

Therefore, the GCF of Fractions 8784/93,2872/801 is 8/24831

Least Common Multiple of 93,801 with GCF Formula

Least Common Multiple of 93,801 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 93,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,801) = 3

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

GCF(93,801) x common factors =3 x 1 = 3

LCM(93,801) = ( 93 × 801 ) / 3

LCM(93,801) = 74493 / 3

LCM(93,801) = 24831


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 8784/93, 2872/801

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 8784/93, 2872/801?

Answer: GCF of Numerators as per given numbers 8784/93, 2872/801 is

GCF of Numerators i.e. for 8784,2872 is 8

LCM of denominators i.e. for 93,801 is 24831.

Thus, GCF of Fractions is 8/24831.Finally, GCF of Fractions for 8784/93, 2872/801 is 8/24831.