Greatest Common Factor of 237/69, 114/52, 809/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/69, 114/52, 809/332

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 237/69,114/52,809/332

Given fractions are 237/69,114/52,809/332

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 237,114,809

Greatest Common Factor of Numerators i.e. GCF of 237,114,809 is 1 .

LCM of Denominators means LCM of 69,52,332 as per the given fractions.

LCM of 69,52,332 is 297804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,114,809

GCF of Fractions 237/69,114/52,809/332 is 1/297804

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 237,114,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,114,809 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 237,114,809 . The biggest common factor number is the GCF number.
So the greatest common factor 237,114,809 is 1.

Lets's calculate LCM of 69,52,332

2 69, 52, 332
2 69, 26, 166
69, 13, 83

∴ So the LCM of the given numbers is 2 x 2 x 69 x 13 x 83 = 297804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297804

Therefore, the GCF of Fractions 237/69,114/52,809/332 is 1/297804

Least Common Multiple of 69,52,332 with GCF Formula

Least Common Multiple of 69,52,332 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 69,52,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,52,332) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(69,52,332) x common factors =1 x 4 = 4

LCM(69,52,332) = ( 69 × 52 × 332 ) / 4

LCM(69,52,332) = 1191216 / 4

LCM(69,52,332) = 297804


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 237/69, 114/52, 809/332

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 237/69, 114/52, 809/332?

Answer: GCF of Numerators as per given numbers 237/69, 114/52, 809/332 is

GCF of Numerators i.e. for 237,114,809 is 1

LCM of denominators i.e. for 69,52,332 is 297804.

Thus, GCF of Fractions is 1/297804.Finally, GCF of Fractions for 237/69, 114/52, 809/332 is 1/297804.