Greatest Common Factor of 2302/34, 6910/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2302/34, 6910/721

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 2302/34,6910/721

Given fractions are 2302/34,6910/721

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 2302,6910

Greatest Common Factor of Numerators i.e. GCF of 2302,6910 is 2 .

LCM of Denominators means LCM of 34,721 as per the given fractions.

LCM of 34,721 is 24514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2302,6910

GCF of Fractions 2302/34,6910/721 is 2/24514

2 2302, 6910
1151, 3455

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2302,6910 By Matching Biggest Common Factor Method

Greatest Common Factor of 2302,6910 By Matching Biggest Common Factor Method

Factors of 2302

List of positive integer factors of 2302 that divides 2302 without a remainder.

1,2,1151,2302

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Greatest Common Factor

We found the factors 2302,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 2302,6910 is 2.

Lets's calculate LCM of 34,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 24514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24514

Therefore, the GCF of Fractions 2302/34,6910/721 is 2/24514

Least Common Multiple of 34,721 with GCF Formula

Least Common Multiple of 34,721 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 34,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,721) = 1

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

GCF(34,721) x common factors =1 x 1 = 1

LCM(34,721) = ( 34 × 721 ) / 1

LCM(34,721) = 24514 / 1

LCM(34,721) = 24514


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 2302/34, 6910/721

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 2302/34, 6910/721?

Answer: GCF of Numerators as per given numbers 2302/34, 6910/721 is

GCF of Numerators i.e. for 2302,6910 is 2

LCM of denominators i.e. for 34,721 is 24514.

Thus, GCF of Fractions is 2/24514.Finally, GCF of Fractions for 2302/34, 6910/721 is 2/24514.