Greatest Common Factor of 80/498, 10/760, 166/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/498, 10/760, 166/522

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 80/498,10/760,166/522

Given fractions are 80/498,10/760,166/522

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 80,10,166

Greatest Common Factor of Numerators i.e. GCF of 80,10,166 is 2 .

LCM of Denominators means LCM of 498,760,522 as per the given fractions.

LCM of 498,760,522 is 16463880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,10,166

GCF of Fractions 80/498,10/760,166/522 is 2/16463880

2 80, 10, 166
40, 5, 83

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

Greatest Common Factor of 80,10,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,10,166 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 80,10,166 . The biggest common factor number is the GCF number.
So the greatest common factor 80,10,166 is 2.

Lets's calculate LCM of 498,760,522

2 498, 760, 522
3 249, 380, 261
83, 380, 87

∴ So the LCM of the given numbers is 2 x 3 x 83 x 380 x 87 = 16463880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16463880

Therefore, the GCF of Fractions 80/498,10/760,166/522 is 2/16463880

Least Common Multiple of 498,760,522 with GCF Formula

Least Common Multiple of 498,760,522 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 498,760,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,760,522) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(498,760,522) x common factors =2 x 6 = 12

LCM(498,760,522) = ( 498 × 760 × 522 ) / 12

LCM(498,760,522) = 197566560 / 12

LCM(498,760,522) = 16463880


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 80/498, 10/760, 166/522

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 80/498, 10/760, 166/522?

Answer: GCF of Numerators as per given numbers 80/498, 10/760, 166/522 is

GCF of Numerators i.e. for 80,10,166 is 2

LCM of denominators i.e. for 498,760,522 is 16463880.

Thus, GCF of Fractions is 2/16463880.Finally, GCF of Fractions for 80/498, 10/760, 166/522 is 2/16463880.