Greatest Common Factor of 4796/562, 7728/2132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4796/562, 7728/2132

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 4796/562,7728/2132

Given fractions are 4796/562,7728/2132

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 4796,7728

Greatest Common Factor of Numerators i.e. GCF of 4796,7728 is 4 .

LCM of Denominators means LCM of 562,2132 as per the given fractions.

LCM of 562,2132 is 599092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4796,7728

GCF of Fractions 4796/562,7728/2132 is 4/599092

2 4796, 7728
2 2398, 3864
1199, 1932

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4796,7728 By Matching Biggest Common Factor Method

Greatest Common Factor of 4796,7728 By Matching Biggest Common Factor Method

Factors of 4796

List of positive integer factors of 4796 that divides 4796 without a remainder.

1,2,4,11,22,44,109,218,436,1199,2398,4796

Factors of 7728

List of positive integer factors of 7728 that divides 7728 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728

Greatest Common Factor

We found the factors 4796,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 4796,7728 is 4.

Lets's calculate LCM of 562,2132

2 562, 2132
281, 1066

∴ So the LCM of the given numbers is 2 x 281 x 1066 = 599092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/599092

Therefore, the GCF of Fractions 4796/562,7728/2132 is 4/599092

Least Common Multiple of 562,2132 with GCF Formula

Least Common Multiple of 562,2132 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 562,2132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,2132) = 2

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

GCF(562,2132) x common factors =2 x 1 = 2

LCM(562,2132) = ( 562 × 2132 ) / 2

LCM(562,2132) = 1198184 / 2

LCM(562,2132) = 599092


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 4796/562, 7728/2132

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 4796/562, 7728/2132?

Answer: GCF of Numerators as per given numbers 4796/562, 7728/2132 is

GCF of Numerators i.e. for 4796,7728 is 4

LCM of denominators i.e. for 562,2132 is 599092.

Thus, GCF of Fractions is 4/599092.Finally, GCF of Fractions for 4796/562, 7728/2132 is 4/599092.