Greatest Common Factor of 1684/132, 2272/8788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1684/132, 2272/8788

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 1684/132,2272/8788

Given fractions are 1684/132,2272/8788

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 1684,2272

Greatest Common Factor of Numerators i.e. GCF of 1684,2272 is 4 .

LCM of Denominators means LCM of 132,8788 as per the given fractions.

LCM of 132,8788 is 290004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1684,2272

GCF of Fractions 1684/132,2272/8788 is 4/290004

2 1684, 2272
2 842, 1136
421, 568

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1684,2272 By Matching Biggest Common Factor Method

Greatest Common Factor of 1684,2272 By Matching Biggest Common Factor Method

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1,2,4,8,16,32,71,142,284,568,1136,2272

Greatest Common Factor

We found the factors 1684,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 1684,2272 is 4.

Lets's calculate LCM of 132,8788

2 132, 8788
2 66, 4394
33, 2197

∴ So the LCM of the given numbers is 2 x 2 x 33 x 2197 = 290004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/290004

Therefore, the GCF of Fractions 1684/132,2272/8788 is 4/290004

Least Common Multiple of 132,8788 with GCF Formula

Least Common Multiple of 132,8788 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 132,8788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,8788) = 4

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

GCF(132,8788) x common factors =4 x 1 = 4

LCM(132,8788) = ( 132 × 8788 ) / 4

LCM(132,8788) = 1160016 / 4

LCM(132,8788) = 290004


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 1684/132, 2272/8788

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 1684/132, 2272/8788?

Answer: GCF of Numerators as per given numbers 1684/132, 2272/8788 is

GCF of Numerators i.e. for 1684,2272 is 4

LCM of denominators i.e. for 132,8788 is 290004.

Thus, GCF of Fractions is 4/290004.Finally, GCF of Fractions for 1684/132, 2272/8788 is 4/290004.