Greatest Common Factor of 7689/228, 3132/4672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7689/228, 3132/4672

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 7689/228,3132/4672

Given fractions are 7689/228,3132/4672

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 7689,3132

Greatest Common Factor of Numerators i.e. GCF of 7689,3132 is 3 .

LCM of Denominators means LCM of 228,4672 as per the given fractions.

LCM of 228,4672 is 266304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7689,3132

GCF of Fractions 7689/228,3132/4672 is 3/266304

3 7689, 3132
2563, 1044

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7689,3132 By Matching Biggest Common Factor Method

Greatest Common Factor of 7689,3132 By Matching Biggest Common Factor Method

Factors of 7689

List of positive integer factors of 7689 that divides 7689 without a remainder.

1,3,11,33,233,699,2563,7689

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

Greatest Common Factor

We found the factors 7689,3132 . The biggest common factor number is the GCF number.
So the greatest common factor 7689,3132 is 3.

Lets's calculate LCM of 228,4672

2 228, 4672
2 114, 2336
57, 1168

∴ So the LCM of the given numbers is 2 x 2 x 57 x 1168 = 266304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/266304

Therefore, the GCF of Fractions 7689/228,3132/4672 is 3/266304

Least Common Multiple of 228,4672 with GCF Formula

Least Common Multiple of 228,4672 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 228,4672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,4672) = 4

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

GCF(228,4672) x common factors =4 x 1 = 4

LCM(228,4672) = ( 228 × 4672 ) / 4

LCM(228,4672) = 1065216 / 4

LCM(228,4672) = 266304


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 7689/228, 3132/4672

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 7689/228, 3132/4672?

Answer: GCF of Numerators as per given numbers 7689/228, 3132/4672 is

GCF of Numerators i.e. for 7689,3132 is 3

LCM of denominators i.e. for 228,4672 is 266304.

Thus, GCF of Fractions is 3/266304.Finally, GCF of Fractions for 7689/228, 3132/4672 is 3/266304.