Greatest Common Factor of 14/985, 756/481, 228/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/985, 756/481, 228/988

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 14/985,756/481,228/988

Given fractions are 14/985,756/481,228/988

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 14,756,228

Greatest Common Factor of Numerators i.e. GCF of 14,756,228 is 2 .

LCM of Denominators means LCM of 985,481,988 as per the given fractions.

LCM of 985,481,988 is 36007660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,756,228

GCF of Fractions 14/985,756/481,228/988 is 2/36007660

2 14, 756, 228
7, 378, 114

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

Greatest Common Factor of 14,756,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,756,228 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 14,756,228 . The biggest common factor number is the GCF number.
So the greatest common factor 14,756,228 is 2.

Lets's calculate LCM of 985,481,988

13 985, 481, 988
985, 37, 76

∴ So the LCM of the given numbers is 13 x 985 x 37 x 76 = 36007660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36007660

Therefore, the GCF of Fractions 14/985,756/481,228/988 is 2/36007660

Least Common Multiple of 985,481,988 with GCF Formula

Least Common Multiple of 985,481,988 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 985,481,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,481,988) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(985,481,988) x common factors =1 x 13 = 13

LCM(985,481,988) = ( 985 × 481 × 988 ) / 13

LCM(985,481,988) = 468099580 / 13

LCM(985,481,988) = 36007660


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 14/985, 756/481, 228/988

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 14/985, 756/481, 228/988?

Answer: GCF of Numerators as per given numbers 14/985, 756/481, 228/988 is

GCF of Numerators i.e. for 14,756,228 is 2

LCM of denominators i.e. for 985,481,988 is 36007660.

Thus, GCF of Fractions is 2/36007660.Finally, GCF of Fractions for 14/985, 756/481, 228/988 is 2/36007660.