Greatest Common Factor of 4300/95, 1302/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4300/95, 1302/745

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 4300/95,1302/745

Given fractions are 4300/95,1302/745

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 4300,1302

Greatest Common Factor of Numerators i.e. GCF of 4300,1302 is 2 .

LCM of Denominators means LCM of 95,745 as per the given fractions.

LCM of 95,745 is 14155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4300,1302

GCF of Fractions 4300/95,1302/745 is 2/14155

2 4300, 1302
2150, 651

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

Greatest Common Factor of 4300,1302 By Matching Biggest Common Factor Method

Greatest Common Factor of 4300,1302 By Matching Biggest Common Factor Method

Factors of 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300

Factors of 1302

List of positive integer factors of 1302 that divides 1302 without a remainder.

1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302

Greatest Common Factor

We found the factors 4300,1302 . The biggest common factor number is the GCF number.
So the greatest common factor 4300,1302 is 2.

Lets's calculate LCM of 95,745

5 95, 745
19, 149

∴ So the LCM of the given numbers is 5 x 19 x 149 = 14155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14155

Therefore, the GCF of Fractions 4300/95,1302/745 is 2/14155

Least Common Multiple of 95,745 with GCF Formula

Least Common Multiple of 95,745 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 95,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,745) = 5

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

GCF(95,745) x common factors =5 x 1 = 5

LCM(95,745) = ( 95 × 745 ) / 5

LCM(95,745) = 70775 / 5

LCM(95,745) = 14155


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 4300/95, 1302/745

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 4300/95, 1302/745?

Answer: GCF of Numerators as per given numbers 4300/95, 1302/745 is

GCF of Numerators i.e. for 4300,1302 is 2

LCM of denominators i.e. for 95,745 is 14155.

Thus, GCF of Fractions is 2/14155.Finally, GCF of Fractions for 4300/95, 1302/745 is 2/14155.