Greatest Common Factor of 4680/673, 9745/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4680/673, 9745/103

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 4680/673,9745/103

Given fractions are 4680/673,9745/103

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 4680,9745

Greatest Common Factor of Numerators i.e. GCF of 4680,9745 is 5 .

LCM of Denominators means LCM of 673,103 as per the given fractions.

LCM of 673,103 is 69319 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4680,9745

GCF of Fractions 4680/673,9745/103 is 5/69319

5 4680, 9745
936, 1949

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4680,9745 By Matching Biggest Common Factor Method

Greatest Common Factor of 4680,9745 By Matching Biggest Common Factor Method

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1,5,1949,9745

Greatest Common Factor

We found the factors 4680,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 4680,9745 is 5.

Lets's calculate LCM of 673,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 69319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/69319

Therefore, the GCF of Fractions 4680/673,9745/103 is 5/69319

Least Common Multiple of 673,103 with GCF Formula

Least Common Multiple of 673,103 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 673,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,103) = 1

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

GCF(673,103) x common factors =1 x 1 = 1

LCM(673,103) = ( 673 × 103 ) / 1

LCM(673,103) = 69319 / 1

LCM(673,103) = 69319


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 4680/673, 9745/103

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 4680/673, 9745/103?

Answer: GCF of Numerators as per given numbers 4680/673, 9745/103 is

GCF of Numerators i.e. for 4680,9745 is 5

LCM of denominators i.e. for 673,103 is 69319.

Thus, GCF of Fractions is 5/69319.Finally, GCF of Fractions for 4680/673, 9745/103 is 5/69319.