Greatest Common Factor of 84/53, 75/66, 438/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/53, 75/66, 438/781

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 84/53,75/66,438/781

Given fractions are 84/53,75/66,438/781

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 84,75,438

Greatest Common Factor of Numerators i.e. GCF of 84,75,438 is 3 .

LCM of Denominators means LCM of 53,66,781 as per the given fractions.

LCM of 53,66,781 is 248358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,75,438

GCF of Fractions 84/53,75/66,438/781 is 3/248358

3 84, 75, 438
28, 25, 146

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

Greatest Common Factor of 84,75,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,75,438 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 84,75,438 . The biggest common factor number is the GCF number.
So the greatest common factor 84,75,438 is 3.

Lets's calculate LCM of 53,66,781

11 53, 66, 781
53, 6, 71

∴ So the LCM of the given numbers is 11 x 53 x 6 x 71 = 248358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/248358

Therefore, the GCF of Fractions 84/53,75/66,438/781 is 3/248358

Least Common Multiple of 53,66,781 with GCF Formula

Least Common Multiple of 53,66,781 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 53,66,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,66,781) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(53,66,781) x common factors =1 x 11 = 11

LCM(53,66,781) = ( 53 × 66 × 781 ) / 11

LCM(53,66,781) = 2731938 / 11

LCM(53,66,781) = 248358


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 84/53, 75/66, 438/781

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 84/53, 75/66, 438/781?

Answer: GCF of Numerators as per given numbers 84/53, 75/66, 438/781 is

GCF of Numerators i.e. for 84,75,438 is 3

LCM of denominators i.e. for 53,66,781 is 248358.

Thus, GCF of Fractions is 3/248358.Finally, GCF of Fractions for 84/53, 75/66, 438/781 is 3/248358.