Greatest Common Factor of 6302/136, 7400/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6302/136, 7400/709

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 6302/136,7400/709

Given fractions are 6302/136,7400/709

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 6302,7400

Greatest Common Factor of Numerators i.e. GCF of 6302,7400 is 2 .

LCM of Denominators means LCM of 136,709 as per the given fractions.

LCM of 136,709 is 96424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6302,7400

GCF of Fractions 6302/136,7400/709 is 2/96424

2 6302, 7400
3151, 3700

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

Greatest Common Factor of 6302,7400 By Matching Biggest Common Factor Method

Greatest Common Factor of 6302,7400 By Matching Biggest Common Factor Method

Factors of 6302

List of positive integer factors of 6302 that divides 6302 without a remainder.

1,2,23,46,137,274,3151,6302

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors 6302,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 6302,7400 is 2.

Lets's calculate LCM of 136,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 96424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96424

Therefore, the GCF of Fractions 6302/136,7400/709 is 2/96424

Least Common Multiple of 136,709 with GCF Formula

Least Common Multiple of 136,709 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 136,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,709) = 1

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

GCF(136,709) x common factors =1 x 1 = 1

LCM(136,709) = ( 136 × 709 ) / 1

LCM(136,709) = 96424 / 1

LCM(136,709) = 96424


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 6302/136, 7400/709

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 6302/136, 7400/709?

Answer: GCF of Numerators as per given numbers 6302/136, 7400/709 is

GCF of Numerators i.e. for 6302,7400 is 2

LCM of denominators i.e. for 136,709 is 96424.

Thus, GCF of Fractions is 2/96424.Finally, GCF of Fractions for 6302/136, 7400/709 is 2/96424.