Greatest Common Factor of 5194/460, 9010/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5194/460, 9010/356

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 5194/460,9010/356

Given fractions are 5194/460,9010/356

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 5194,9010

Greatest Common Factor of Numerators i.e. GCF of 5194,9010 is 106 .

LCM of Denominators means LCM of 460,356 as per the given fractions.

LCM of 460,356 is 40940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5194,9010

GCF of Fractions 5194/460,9010/356 is 106/40940

2 5194, 9010
53 2597, 4505
49, 85

∴ So the GCF of the given numbers is 2 x 53 = 106

Greatest Common Factor of 5194,9010 By Matching Biggest Common Factor Method

Greatest Common Factor of 5194,9010 By Matching Biggest Common Factor Method

Factors of 5194

List of positive integer factors of 5194 that divides 5194 without a remainder.

1,2,7,14,49,53,98,106,371,742,2597,5194

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Greatest Common Factor

We found the factors 5194,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 5194,9010 is 106.

Lets's calculate LCM of 460,356

2 460, 356
2 230, 178
115, 89

∴ So the LCM of the given numbers is 2 x 2 x 115 x 89 = 40940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/40940

Therefore, the GCF of Fractions 5194/460,9010/356 is 106/40940

Least Common Multiple of 460,356 with GCF Formula

Least Common Multiple of 460,356 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 460,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,356) = 4

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

GCF(460,356) x common factors =4 x 1 = 4

LCM(460,356) = ( 460 × 356 ) / 4

LCM(460,356) = 163760 / 4

LCM(460,356) = 40940


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 5194/460, 9010/356

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 5194/460, 9010/356?

Answer: GCF of Numerators as per given numbers 5194/460, 9010/356 is

GCF of Numerators i.e. for 5194,9010 is 106

LCM of denominators i.e. for 460,356 is 40940.

Thus, GCF of Fractions is 106/40940.Finally, GCF of Fractions for 5194/460, 9010/356 is 106/40940.