Greatest Common Factor of 5585/268, 2605/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5585/268, 2605/148

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 5585/268,2605/148

Given fractions are 5585/268,2605/148

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 5585,2605

Greatest Common Factor of Numerators i.e. GCF of 5585,2605 is 5 .

LCM of Denominators means LCM of 268,148 as per the given fractions.

LCM of 268,148 is 9916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5585,2605

GCF of Fractions 5585/268,2605/148 is 5/9916

5 5585, 2605
1117, 521

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5585,2605 By Matching Biggest Common Factor Method

Greatest Common Factor of 5585,2605 By Matching Biggest Common Factor Method

Factors of 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1,5,1117,5585

Factors of 2605

List of positive integer factors of 2605 that divides 2605 without a remainder.

1,5,521,2605

Greatest Common Factor

We found the factors 5585,2605 . The biggest common factor number is the GCF number.
So the greatest common factor 5585,2605 is 5.

Lets's calculate LCM of 268,148

2 268, 148
2 134, 74
67, 37

∴ So the LCM of the given numbers is 2 x 2 x 67 x 37 = 9916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9916

Therefore, the GCF of Fractions 5585/268,2605/148 is 5/9916

Least Common Multiple of 268,148 with GCF Formula

Least Common Multiple of 268,148 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 268,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,148) = 4

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

GCF(268,148) x common factors =4 x 1 = 4

LCM(268,148) = ( 268 × 148 ) / 4

LCM(268,148) = 39664 / 4

LCM(268,148) = 9916


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 5585/268, 2605/148

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 5585/268, 2605/148?

Answer: GCF of Numerators as per given numbers 5585/268, 2605/148 is

GCF of Numerators i.e. for 5585,2605 is 5

LCM of denominators i.e. for 268,148 is 9916.

Thus, GCF of Fractions is 5/9916.Finally, GCF of Fractions for 5585/268, 2605/148 is 5/9916.