Greatest Common Factor of 853/69, 249/49, 318/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 853/69, 249/49, 318/66

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 853/69,249/49,318/66

Given fractions are 853/69,249/49,318/66

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 853,249,318

Greatest Common Factor of Numerators i.e. GCF of 853,249,318 is 1 .

LCM of Denominators means LCM of 69,49,66 as per the given fractions.

LCM of 69,49,66 is 74382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 853,249,318

GCF of Fractions 853/69,249/49,318/66 is 1/74382

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

Greatest Common Factor of 853,249,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,249,318 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 853,249,318 . The biggest common factor number is the GCF number.
So the greatest common factor 853,249,318 is 1.

Lets's calculate LCM of 69,49,66

3 69, 49, 66
23, 49, 22

∴ So the LCM of the given numbers is 3 x 23 x 49 x 22 = 74382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74382

Therefore, the GCF of Fractions 853/69,249/49,318/66 is 1/74382

Least Common Multiple of 69,49,66 with GCF Formula

Least Common Multiple of 69,49,66 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 69,49,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,49,66) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,49,66) x common factors =1 x 3 = 3

LCM(69,49,66) = ( 69 × 49 × 66 ) / 3

LCM(69,49,66) = 223146 / 3

LCM(69,49,66) = 74382


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 853/69, 249/49, 318/66

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 853/69, 249/49, 318/66?

Answer: GCF of Numerators as per given numbers 853/69, 249/49, 318/66 is

GCF of Numerators i.e. for 853,249,318 is 1

LCM of denominators i.e. for 69,49,66 is 74382.

Thus, GCF of Fractions is 1/74382.Finally, GCF of Fractions for 853/69, 249/49, 318/66 is 1/74382.