Greatest Common Factor of 673/930, 4711/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/930, 4711/145

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 673/930,4711/145

Given fractions are 673/930,4711/145

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 673,4711

Greatest Common Factor of Numerators i.e. GCF of 673,4711 is 673 .

LCM of Denominators means LCM of 930,145 as per the given fractions.

LCM of 930,145 is 26970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,4711

GCF of Fractions 673/930,4711/145 is 673/26970

673 673, 4711
1, 7

∴ So the GCF of the given numbers is 673 = 673

Greatest Common Factor of 673,4711 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,4711 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 4711

List of positive integer factors of 4711 that divides 4711 without a remainder.

1,7,673,4711

Greatest Common Factor

We found the factors 673,4711 . The biggest common factor number is the GCF number.
So the greatest common factor 673,4711 is 673.

Lets's calculate LCM of 930,145

5 930, 145
186, 29

∴ So the LCM of the given numbers is 5 x 186 x 29 = 26970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 673/26970

Therefore, the GCF of Fractions 673/930,4711/145 is 673/26970

Least Common Multiple of 930,145 with GCF Formula

Least Common Multiple of 930,145 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 930,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,145) = 5

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

GCF(930,145) x common factors =5 x 1 = 5

LCM(930,145) = ( 930 × 145 ) / 5

LCM(930,145) = 134850 / 5

LCM(930,145) = 26970


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 673/930, 4711/145

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 673/930, 4711/145?

Answer: GCF of Numerators as per given numbers 673/930, 4711/145 is

GCF of Numerators i.e. for 673,4711 is 673

LCM of denominators i.e. for 930,145 is 26970.

Thus, GCF of Fractions is 673/26970.Finally, GCF of Fractions for 673/930, 4711/145 is 673/26970.