Greatest Common Factor of 4612/12, 1124/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4612/12, 1124/259

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 4612/12,1124/259

Given fractions are 4612/12,1124/259

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 4612,1124

Greatest Common Factor of Numerators i.e. GCF of 4612,1124 is 4 .

LCM of Denominators means LCM of 12,259 as per the given fractions.

LCM of 12,259 is 3108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4612,1124

GCF of Fractions 4612/12,1124/259 is 4/3108

2 4612, 1124
2 2306, 562
1153, 281

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

Greatest Common Factor of 4612,1124 By Matching Biggest Common Factor Method

Greatest Common Factor of 4612,1124 By Matching Biggest Common Factor Method

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1,2,4,1153,2306,4612

Factors of 1124

List of positive integer factors of 1124 that divides 1124 without a remainder.

1,2,4,281,562,1124

Greatest Common Factor

We found the factors 4612,1124 . The biggest common factor number is the GCF number.
So the greatest common factor 4612,1124 is 4.

Lets's calculate LCM of 12,259

Given numbers has no common factors except 1. So, there LCM is their product i.e 3108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3108

Therefore, the GCF of Fractions 4612/12,1124/259 is 4/3108

Least Common Multiple of 12,259 with GCF Formula

Least Common Multiple of 12,259 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 12,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,259) = 1

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

GCF(12,259) x common factors =1 x 1 = 1

LCM(12,259) = ( 12 × 259 ) / 1

LCM(12,259) = 3108 / 1

LCM(12,259) = 3108


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 4612/12, 1124/259

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 4612/12, 1124/259?

Answer: GCF of Numerators as per given numbers 4612/12, 1124/259 is

GCF of Numerators i.e. for 4612,1124 is 4

LCM of denominators i.e. for 12,259 is 3108.

Thus, GCF of Fractions is 4/3108.Finally, GCF of Fractions for 4612/12, 1124/259 is 4/3108.