Greatest Common Factor of 132/461, 5688/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/461, 5688/784

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 132/461,5688/784

Given fractions are 132/461,5688/784

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 132,5688

Greatest Common Factor of Numerators i.e. GCF of 132,5688 is 12 .

LCM of Denominators means LCM of 461,784 as per the given fractions.

LCM of 461,784 is 361424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,5688

GCF of Fractions 132/461,5688/784 is 12/361424

2 132, 5688
2 66, 2844
3 33, 1422
11, 474

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 132,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,5688 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 132,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 132,5688 is 12.

Lets's calculate LCM of 461,784

Given numbers has no common factors except 1. So, there LCM is their product i.e 361424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/361424

Therefore, the GCF of Fractions 132/461,5688/784 is 12/361424

Least Common Multiple of 461,784 with GCF Formula

Least Common Multiple of 461,784 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 461,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,784) = 1

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

GCF(461,784) x common factors =1 x 1 = 1

LCM(461,784) = ( 461 × 784 ) / 1

LCM(461,784) = 361424 / 1

LCM(461,784) = 361424


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 132/461, 5688/784

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 132/461, 5688/784?

Answer: GCF of Numerators as per given numbers 132/461, 5688/784 is

GCF of Numerators i.e. for 132,5688 is 12

LCM of denominators i.e. for 461,784 is 361424.

Thus, GCF of Fractions is 12/361424.Finally, GCF of Fractions for 132/461, 5688/784 is 12/361424.