Greatest Common Factor of 4340/840, 9790/7309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4340/840, 9790/7309

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 4340/840,9790/7309

Given fractions are 4340/840,9790/7309

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 4340,9790

Greatest Common Factor of Numerators i.e. GCF of 4340,9790 is 10 .

LCM of Denominators means LCM of 840,7309 as per the given fractions.

LCM of 840,7309 is 6139560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4340,9790

GCF of Fractions 4340/840,9790/7309 is 10/6139560

2 4340, 9790
5 2170, 4895
434, 979

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4340,9790 By Matching Biggest Common Factor Method

Greatest Common Factor of 4340,9790 By Matching Biggest Common Factor Method

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790

Greatest Common Factor

We found the factors 4340,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,9790 is 10.

Lets's calculate LCM of 840,7309

Given numbers has no common factors except 1. So, there LCM is their product i.e 6139560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6139560

Therefore, the GCF of Fractions 4340/840,9790/7309 is 10/6139560

Least Common Multiple of 840,7309 with GCF Formula

Least Common Multiple of 840,7309 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 840,7309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,7309) = 1

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

GCF(840,7309) x common factors =1 x 1 = 1

LCM(840,7309) = ( 840 × 7309 ) / 1

LCM(840,7309) = 6139560 / 1

LCM(840,7309) = 6139560


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 4340/840, 9790/7309

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 4340/840, 9790/7309?

Answer: GCF of Numerators as per given numbers 4340/840, 9790/7309 is

GCF of Numerators i.e. for 4340,9790 is 10

LCM of denominators i.e. for 840,7309 is 6139560.

Thus, GCF of Fractions is 10/6139560.Finally, GCF of Fractions for 4340/840, 9790/7309 is 10/6139560.