Greatest Common Factor of 4632/51, 4882/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4632/51, 4882/263

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 4632/51,4882/263

Given fractions are 4632/51,4882/263

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 4632,4882

Greatest Common Factor of Numerators i.e. GCF of 4632,4882 is 2 .

LCM of Denominators means LCM of 51,263 as per the given fractions.

LCM of 51,263 is 13413 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4632,4882

GCF of Fractions 4632/51,4882/263 is 2/13413

2 4632, 4882
2316, 2441

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

Greatest Common Factor of 4632,4882 By Matching Biggest Common Factor Method

Greatest Common Factor of 4632,4882 By Matching Biggest Common Factor Method

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632

Factors of 4882

List of positive integer factors of 4882 that divides 4882 without a remainder.

1,2,2441,4882

Greatest Common Factor

We found the factors 4632,4882 . The biggest common factor number is the GCF number.
So the greatest common factor 4632,4882 is 2.

Lets's calculate LCM of 51,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 13413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13413

Therefore, the GCF of Fractions 4632/51,4882/263 is 2/13413

Least Common Multiple of 51,263 with GCF Formula

Least Common Multiple of 51,263 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 51,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,263) = 1

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

GCF(51,263) x common factors =1 x 1 = 1

LCM(51,263) = ( 51 × 263 ) / 1

LCM(51,263) = 13413 / 1

LCM(51,263) = 13413


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 4632/51, 4882/263

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 4632/51, 4882/263?

Answer: GCF of Numerators as per given numbers 4632/51, 4882/263 is

GCF of Numerators i.e. for 4632,4882 is 2

LCM of denominators i.e. for 51,263 is 13413.

Thus, GCF of Fractions is 2/13413.Finally, GCF of Fractions for 4632/51, 4882/263 is 2/13413.