Greatest Common Factor of 38/266, 9074/3091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/266, 9074/3091

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 38/266,9074/3091

Given fractions are 38/266,9074/3091

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 38,9074

Greatest Common Factor of Numerators i.e. GCF of 38,9074 is 2 .

LCM of Denominators means LCM of 266,3091 as per the given fractions.

LCM of 266,3091 is 822206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,9074

GCF of Fractions 38/266,9074/3091 is 2/822206

2 38, 9074
19, 4537

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

Greatest Common Factor of 38,9074 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,9074 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1,2,13,26,349,698,4537,9074

Greatest Common Factor

We found the factors 38,9074 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9074 is 2.

Lets's calculate LCM of 266,3091

Given numbers has no common factors except 1. So, there LCM is their product i.e 822206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/822206

Therefore, the GCF of Fractions 38/266,9074/3091 is 2/822206

Least Common Multiple of 266,3091 with GCF Formula

Least Common Multiple of 266,3091 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 266,3091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,3091) = 1

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

GCF(266,3091) x common factors =1 x 1 = 1

LCM(266,3091) = ( 266 × 3091 ) / 1

LCM(266,3091) = 822206 / 1

LCM(266,3091) = 822206


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 38/266, 9074/3091

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 38/266, 9074/3091?

Answer: GCF of Numerators as per given numbers 38/266, 9074/3091 is

GCF of Numerators i.e. for 38,9074 is 2

LCM of denominators i.e. for 266,3091 is 822206.

Thus, GCF of Fractions is 2/822206.Finally, GCF of Fractions for 38/266, 9074/3091 is 2/822206.