Greatest Common Factor of 75/76, 41/61, 784/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/76, 41/61, 784/182

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 75/76,41/61,784/182

Given fractions are 75/76,41/61,784/182

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 75,41,784

Greatest Common Factor of Numerators i.e. GCF of 75,41,784 is 1 .

LCM of Denominators means LCM of 76,61,182 as per the given fractions.

LCM of 76,61,182 is 421876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,41,784

GCF of Fractions 75/76,41/61,784/182 is 1/421876

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 75,41,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,41,784 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 75,41,784 . The biggest common factor number is the GCF number.
So the greatest common factor 75,41,784 is 1.

Lets's calculate LCM of 76,61,182

2 76, 61, 182
38, 61, 91

∴ So the LCM of the given numbers is 2 x 38 x 61 x 91 = 421876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421876

Therefore, the GCF of Fractions 75/76,41/61,784/182 is 1/421876

Least Common Multiple of 76,61,182 with GCF Formula

Least Common Multiple of 76,61,182 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 76,61,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,61,182) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,61,182) x common factors =1 x 2 = 2

LCM(76,61,182) = ( 76 × 61 × 182 ) / 2

LCM(76,61,182) = 843752 / 2

LCM(76,61,182) = 421876


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 75/76, 41/61, 784/182

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 75/76, 41/61, 784/182?

Answer: GCF of Numerators as per given numbers 75/76, 41/61, 784/182 is

GCF of Numerators i.e. for 75,41,784 is 1

LCM of denominators i.e. for 76,61,182 is 421876.

Thus, GCF of Fractions is 1/421876.Finally, GCF of Fractions for 75/76, 41/61, 784/182 is 1/421876.