Greatest Common Factor of 75/765, 89/474, 883/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/765, 89/474, 883/846

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 75/765,89/474,883/846

Given fractions are 75/765,89/474,883/846

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 75,89,883

Greatest Common Factor of Numerators i.e. GCF of 75,89,883 is 1 .

LCM of Denominators means LCM of 765,474,846 as per the given fractions.

LCM of 765,474,846 is 5680890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,89,883

GCF of Fractions 75/765,89/474,883/846 is 1/5680890

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

Greatest Common Factor of 75,89,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,89,883 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 75,89,883 . The biggest common factor number is the GCF number.
So the greatest common factor 75,89,883 is 1.

Lets's calculate LCM of 765,474,846

2 765, 474, 846
3 765, 237, 423
3 255, 79, 141
85, 79, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 85 x 79 x 47 = 5680890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5680890

Therefore, the GCF of Fractions 75/765,89/474,883/846 is 1/5680890

Least Common Multiple of 765,474,846 with GCF Formula

Least Common Multiple of 765,474,846 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 765,474,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,474,846) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(765,474,846) x common factors =3 x 18 = 54

LCM(765,474,846) = ( 765 × 474 × 846 ) / 54

LCM(765,474,846) = 306768060 / 54

LCM(765,474,846) = 5680890


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 75/765, 89/474, 883/846

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 75/765, 89/474, 883/846?

Answer: GCF of Numerators as per given numbers 75/765, 89/474, 883/846 is

GCF of Numerators i.e. for 75,89,883 is 1

LCM of denominators i.e. for 765,474,846 is 5680890.

Thus, GCF of Fractions is 1/5680890.Finally, GCF of Fractions for 75/765, 89/474, 883/846 is 1/5680890.