Greatest Common Factor of 4792/684, 8856/2922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4792/684, 8856/2922

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 4792/684,8856/2922

Given fractions are 4792/684,8856/2922

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 4792,8856

Greatest Common Factor of Numerators i.e. GCF of 4792,8856 is 8 .

LCM of Denominators means LCM of 684,2922 as per the given fractions.

LCM of 684,2922 is 333108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4792,8856

GCF of Fractions 4792/684,8856/2922 is 8/333108

2 4792, 8856
2 2396, 4428
2 1198, 2214
599, 1107

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

Greatest Common Factor of 4792,8856 By Matching Biggest Common Factor Method

Greatest Common Factor of 4792,8856 By Matching Biggest Common Factor Method

Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1,2,4,8,599,1198,2396,4792

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856

Greatest Common Factor

We found the factors 4792,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 4792,8856 is 8.

Lets's calculate LCM of 684,2922

2 684, 2922
3 342, 1461
114, 487

∴ So the LCM of the given numbers is 2 x 3 x 114 x 487 = 333108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/333108

Therefore, the GCF of Fractions 4792/684,8856/2922 is 8/333108

Least Common Multiple of 684,2922 with GCF Formula

Least Common Multiple of 684,2922 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 684,2922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,2922) = 6

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

GCF(684,2922) x common factors =6 x 1 = 6

LCM(684,2922) = ( 684 × 2922 ) / 6

LCM(684,2922) = 1998648 / 6

LCM(684,2922) = 333108


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 4792/684, 8856/2922

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 4792/684, 8856/2922?

Answer: GCF of Numerators as per given numbers 4792/684, 8856/2922 is

GCF of Numerators i.e. for 4792,8856 is 8

LCM of denominators i.e. for 684,2922 is 333108.

Thus, GCF of Fractions is 8/333108.Finally, GCF of Fractions for 4792/684, 8856/2922 is 8/333108.