Greatest Common Factor of 416/10, 266/71, 902/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/10, 266/71, 902/66

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 416/10,266/71,902/66

Given fractions are 416/10,266/71,902/66

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 416,266,902

Greatest Common Factor of Numerators i.e. GCF of 416,266,902 is 2 .

LCM of Denominators means LCM of 10,71,66 as per the given fractions.

LCM of 10,71,66 is 23430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,266,902

GCF of Fractions 416/10,266/71,902/66 is 2/23430

2 416, 266, 902
208, 133, 451

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

Greatest Common Factor of 416,266,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,266,902 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 416,266,902 . The biggest common factor number is the GCF number.
So the greatest common factor 416,266,902 is 2.

Lets's calculate LCM of 10,71,66

2 10, 71, 66
5, 71, 33

∴ So the LCM of the given numbers is 2 x 5 x 71 x 33 = 23430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23430

Therefore, the GCF of Fractions 416/10,266/71,902/66 is 2/23430

Least Common Multiple of 10,71,66 with GCF Formula

Least Common Multiple of 10,71,66 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 10,71,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,71,66) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,71,66) x common factors =1 x 2 = 2

LCM(10,71,66) = ( 10 × 71 × 66 ) / 2

LCM(10,71,66) = 46860 / 2

LCM(10,71,66) = 23430


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 416/10, 266/71, 902/66

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 416/10, 266/71, 902/66?

Answer: GCF of Numerators as per given numbers 416/10, 266/71, 902/66 is

GCF of Numerators i.e. for 416,266,902 is 2

LCM of denominators i.e. for 10,71,66 is 23430.

Thus, GCF of Fractions is 2/23430.Finally, GCF of Fractions for 416/10, 266/71, 902/66 is 2/23430.