Greatest Common Factor of 92/728, 253/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/728, 253/584

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 92/728,253/584

Given fractions are 92/728,253/584

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 92,253

Greatest Common Factor of Numerators i.e. GCF of 92,253 is 23 .

LCM of Denominators means LCM of 728,584 as per the given fractions.

LCM of 728,584 is 53144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,253

GCF of Fractions 92/728,253/584 is 23/53144

23 92, 253
4, 11

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 92,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,253 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 92,253 . The biggest common factor number is the GCF number.
So the greatest common factor 92,253 is 23.

Lets's calculate LCM of 728,584

2 728, 584
2 364, 292
2 182, 146
91, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 91 x 73 = 53144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/53144

Therefore, the GCF of Fractions 92/728,253/584 is 23/53144

Least Common Multiple of 728,584 with GCF Formula

Least Common Multiple of 728,584 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 728,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,584) = 8

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

GCF(728,584) x common factors =8 x 1 = 8

LCM(728,584) = ( 728 × 584 ) / 8

LCM(728,584) = 425152 / 8

LCM(728,584) = 53144


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 92/728, 253/584

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 92/728, 253/584?

Answer: GCF of Numerators as per given numbers 92/728, 253/584 is

GCF of Numerators i.e. for 92,253 is 23

LCM of denominators i.e. for 728,584 is 53144.

Thus, GCF of Fractions is 23/53144.Finally, GCF of Fractions for 92/728, 253/584 is 23/53144.