Greatest Common Factor of 883/24, 784/96, 748/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 883/24, 784/96, 748/254

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 883/24,784/96,748/254

Given fractions are 883/24,784/96,748/254

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 883,784,748

Greatest Common Factor of Numerators i.e. GCF of 883,784,748 is 1 .

LCM of Denominators means LCM of 24,96,254 as per the given fractions.

LCM of 24,96,254 is 12192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 883,784,748

GCF of Fractions 883/24,784/96,748/254 is 1/12192

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

Greatest Common Factor of 883,784,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,784,748 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 883,784,748 . The biggest common factor number is the GCF number.
So the greatest common factor 883,784,748 is 1.

Lets's calculate LCM of 24,96,254

2 24, 96, 254
2 12, 48, 127
2 6, 24, 127
3 3, 12, 127
1, 4, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 127 = 12192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12192

Therefore, the GCF of Fractions 883/24,784/96,748/254 is 1/12192

Least Common Multiple of 24,96,254 with GCF Formula

Least Common Multiple of 24,96,254 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 24,96,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,96,254) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(24,96,254) x common factors =2 x 24 = 48

LCM(24,96,254) = ( 24 × 96 × 254 ) / 48

LCM(24,96,254) = 585216 / 48

LCM(24,96,254) = 12192


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 883/24, 784/96, 748/254

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 883/24, 784/96, 748/254?

Answer: GCF of Numerators as per given numbers 883/24, 784/96, 748/254 is

GCF of Numerators i.e. for 883,784,748 is 1

LCM of denominators i.e. for 24,96,254 is 12192.

Thus, GCF of Fractions is 1/12192.Finally, GCF of Fractions for 883/24, 784/96, 748/254 is 1/12192.