Greatest Common Factor of 5204/176, 2092/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5204/176, 2092/710

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 5204/176,2092/710

Given fractions are 5204/176,2092/710

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 5204,2092

Greatest Common Factor of Numerators i.e. GCF of 5204,2092 is 4 .

LCM of Denominators means LCM of 176,710 as per the given fractions.

LCM of 176,710 is 62480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5204,2092

GCF of Fractions 5204/176,2092/710 is 4/62480

2 5204, 2092
2 2602, 1046
1301, 523

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

Greatest Common Factor of 5204,2092 By Matching Biggest Common Factor Method

Greatest Common Factor of 5204,2092 By Matching Biggest Common Factor Method

Factors of 5204

List of positive integer factors of 5204 that divides 5204 without a remainder.

1,2,4,1301,2602,5204

Factors of 2092

List of positive integer factors of 2092 that divides 2092 without a remainder.

1,2,4,523,1046,2092

Greatest Common Factor

We found the factors 5204,2092 . The biggest common factor number is the GCF number.
So the greatest common factor 5204,2092 is 4.

Lets's calculate LCM of 176,710

2 176, 710
88, 355

∴ So the LCM of the given numbers is 2 x 88 x 355 = 62480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62480

Therefore, the GCF of Fractions 5204/176,2092/710 is 4/62480

Least Common Multiple of 176,710 with GCF Formula

Least Common Multiple of 176,710 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 176,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,710) = 2

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

GCF(176,710) x common factors =2 x 1 = 2

LCM(176,710) = ( 176 × 710 ) / 2

LCM(176,710) = 124960 / 2

LCM(176,710) = 62480


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 5204/176, 2092/710

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 5204/176, 2092/710?

Answer: GCF of Numerators as per given numbers 5204/176, 2092/710 is

GCF of Numerators i.e. for 5204,2092 is 4

LCM of denominators i.e. for 176,710 is 62480.

Thus, GCF of Fractions is 4/62480.Finally, GCF of Fractions for 5204/176, 2092/710 is 4/62480.