Greatest Common Factor of 3434/305, 1300/7919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3434/305, 1300/7919

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 3434/305,1300/7919

Given fractions are 3434/305,1300/7919

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 3434,1300

Greatest Common Factor of Numerators i.e. GCF of 3434,1300 is 2 .

LCM of Denominators means LCM of 305,7919 as per the given fractions.

LCM of 305,7919 is 2415295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3434,1300

GCF of Fractions 3434/305,1300/7919 is 2/2415295

2 3434, 1300
1717, 650

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

Greatest Common Factor of 3434,1300 By Matching Biggest Common Factor Method

Greatest Common Factor of 3434,1300 By Matching Biggest Common Factor Method

Factors of 3434

List of positive integer factors of 3434 that divides 3434 without a remainder.

1,2,17,34,101,202,1717,3434

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Greatest Common Factor

We found the factors 3434,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 3434,1300 is 2.

Lets's calculate LCM of 305,7919

Given numbers has no common factors except 1. So, there LCM is their product i.e 2415295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2415295

Therefore, the GCF of Fractions 3434/305,1300/7919 is 2/2415295

Least Common Multiple of 305,7919 with GCF Formula

Least Common Multiple of 305,7919 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 305,7919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,7919) = 1

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

GCF(305,7919) x common factors =1 x 1 = 1

LCM(305,7919) = ( 305 × 7919 ) / 1

LCM(305,7919) = 2415295 / 1

LCM(305,7919) = 2415295


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 3434/305, 1300/7919

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 3434/305, 1300/7919?

Answer: GCF of Numerators as per given numbers 3434/305, 1300/7919 is

GCF of Numerators i.e. for 3434,1300 is 2

LCM of denominators i.e. for 305,7919 is 2415295.

Thus, GCF of Fractions is 2/2415295.Finally, GCF of Fractions for 3434/305, 1300/7919 is 2/2415295.