Greatest Common Factor of 52/99, 928/41, 258/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/99, 928/41, 258/586

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 52/99,928/41,258/586

Given fractions are 52/99,928/41,258/586

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 52,928,258

Greatest Common Factor of Numerators i.e. GCF of 52,928,258 is 2 .

LCM of Denominators means LCM of 99,41,586 as per the given fractions.

LCM of 99,41,586 is 2378574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,928,258

GCF of Fractions 52/99,928/41,258/586 is 2/2378574

2 52, 928, 258
26, 464, 129

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

Greatest Common Factor of 52,928,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,928,258 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 52,928,258 . The biggest common factor number is the GCF number.
So the greatest common factor 52,928,258 is 2.

Lets's calculate LCM of 99,41,586

Given numbers has no common factors except 1. So, there LCM is their product i.e 2378574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2378574

Therefore, the GCF of Fractions 52/99,928/41,258/586 is 2/2378574

Least Common Multiple of 99,41,586 with GCF Formula

Least Common Multiple of 99,41,586 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 99,41,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,41,586) = 1

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

GCF(99,41,586) x common factors =1 x 1 = 1

LCM(99,41,586) = ( 99 × 41 × 586 ) / 1

LCM(99,41,586) = 2378574 / 1

LCM(99,41,586) = 2378574


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 52/99, 928/41, 258/586

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 52/99, 928/41, 258/586?

Answer: GCF of Numerators as per given numbers 52/99, 928/41, 258/586 is

GCF of Numerators i.e. for 52,928,258 is 2

LCM of denominators i.e. for 99,41,586 is 2378574.

Thus, GCF of Fractions is 2/2378574.Finally, GCF of Fractions for 52/99, 928/41, 258/586 is 2/2378574.