Greatest Common Factor of 4758/100, 7345/6980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4758/100, 7345/6980

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 4758/100,7345/6980

Given fractions are 4758/100,7345/6980

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 4758,7345

Greatest Common Factor of Numerators i.e. GCF of 4758,7345 is 13 .

LCM of Denominators means LCM of 100,6980 as per the given fractions.

LCM of 100,6980 is 34900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4758,7345

GCF of Fractions 4758/100,7345/6980 is 13/34900

13 4758, 7345
366, 565

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4758,7345 By Matching Biggest Common Factor Method

Greatest Common Factor of 4758,7345 By Matching Biggest Common Factor Method

Factors of 4758

List of positive integer factors of 4758 that divides 4758 without a remainder.

1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors 4758,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 4758,7345 is 13.

Lets's calculate LCM of 100,6980

2 100, 6980
2 50, 3490
5 25, 1745
5, 349

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 349 = 34900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/34900

Therefore, the GCF of Fractions 4758/100,7345/6980 is 13/34900

Least Common Multiple of 100,6980 with GCF Formula

Least Common Multiple of 100,6980 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 100,6980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6980) = 20

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

GCF(100,6980) x common factors =20 x 1 = 20

LCM(100,6980) = ( 100 × 6980 ) / 20

LCM(100,6980) = 698000 / 20

LCM(100,6980) = 34900


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 4758/100, 7345/6980

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 4758/100, 7345/6980?

Answer: GCF of Numerators as per given numbers 4758/100, 7345/6980 is

GCF of Numerators i.e. for 4758,7345 is 13

LCM of denominators i.e. for 100,6980 is 34900.

Thus, GCF of Fractions is 13/34900.Finally, GCF of Fractions for 4758/100, 7345/6980 is 13/34900.