Greatest Common Factor of 2174/76, 4080/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2174/76, 4080/266

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 2174/76,4080/266

Given fractions are 2174/76,4080/266

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 2174,4080

Greatest Common Factor of Numerators i.e. GCF of 2174,4080 is 2 .

LCM of Denominators means LCM of 76,266 as per the given fractions.

LCM of 76,266 is 532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2174,4080

GCF of Fractions 2174/76,4080/266 is 2/532

2 2174, 4080
1087, 2040

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

Greatest Common Factor of 2174,4080 By Matching Biggest Common Factor Method

Greatest Common Factor of 2174,4080 By Matching Biggest Common Factor Method

Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1,2,1087,2174

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Greatest Common Factor

We found the factors 2174,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 2174,4080 is 2.

Lets's calculate LCM of 76,266

2 76, 266
19 38, 133
2, 7

∴ So the LCM of the given numbers is 2 x 19 x 2 x 7 = 532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/532

Therefore, the GCF of Fractions 2174/76,4080/266 is 2/532

Least Common Multiple of 76,266 with GCF Formula

Least Common Multiple of 76,266 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 76,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,266) = 38

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

GCF(76,266) x common factors =38 x 1 = 38

LCM(76,266) = ( 76 × 266 ) / 38

LCM(76,266) = 20216 / 38

LCM(76,266) = 532


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 2174/76, 4080/266

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 2174/76, 4080/266?

Answer: GCF of Numerators as per given numbers 2174/76, 4080/266 is

GCF of Numerators i.e. for 2174,4080 is 2

LCM of denominators i.e. for 76,266 is 532.

Thus, GCF of Fractions is 2/532.Finally, GCF of Fractions for 2174/76, 4080/266 is 2/532.