Greatest Common Factor of 236/69, 348/29, 966/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/69, 348/29, 966/571

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 236/69,348/29,966/571

Given fractions are 236/69,348/29,966/571

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 236,348,966

Greatest Common Factor of Numerators i.e. GCF of 236,348,966 is 2 .

LCM of Denominators means LCM of 69,29,571 as per the given fractions.

LCM of 69,29,571 is 1142571 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,348,966

GCF of Fractions 236/69,348/29,966/571 is 2/1142571

2 236, 348, 966
118, 174, 483

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

Greatest Common Factor of 236,348,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,348,966 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 236,348,966 . The biggest common factor number is the GCF number.
So the greatest common factor 236,348,966 is 2.

Lets's calculate LCM of 69,29,571

Given numbers has no common factors except 1. So, there LCM is their product i.e 1142571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1142571

Therefore, the GCF of Fractions 236/69,348/29,966/571 is 2/1142571

Least Common Multiple of 69,29,571 with GCF Formula

Least Common Multiple of 69,29,571 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 69,29,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,29,571) = 1

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

GCF(69,29,571) x common factors =1 x 1 = 1

LCM(69,29,571) = ( 69 × 29 × 571 ) / 1

LCM(69,29,571) = 1142571 / 1

LCM(69,29,571) = 1142571


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 236/69, 348/29, 966/571

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 236/69, 348/29, 966/571?

Answer: GCF of Numerators as per given numbers 236/69, 348/29, 966/571 is

GCF of Numerators i.e. for 236,348,966 is 2

LCM of denominators i.e. for 69,29,571 is 1142571.

Thus, GCF of Fractions is 2/1142571.Finally, GCF of Fractions for 236/69, 348/29, 966/571 is 2/1142571.