Greatest Common Factor of 8250/11, 7643/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8250/11, 7643/962

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 8250/11,7643/962

Given fractions are 8250/11,7643/962

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 8250,7643

Greatest Common Factor of Numerators i.e. GCF of 8250,7643 is 1 .

LCM of Denominators means LCM of 11,962 as per the given fractions.

LCM of 11,962 is 10582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8250,7643

GCF of Fractions 8250/11,7643/962 is 1/10582

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8250,7643 By Matching Biggest Common Factor Method

Greatest Common Factor of 8250,7643 By Matching Biggest Common Factor Method

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Factors of 7643

List of positive integer factors of 7643 that divides 7643 without a remainder.

1,7643

Greatest Common Factor

We found the factors 8250,7643 . The biggest common factor number is the GCF number.
So the greatest common factor 8250,7643 is 1.

Lets's calculate LCM of 11,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 10582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10582

Therefore, the GCF of Fractions 8250/11,7643/962 is 1/10582

Least Common Multiple of 11,962 with GCF Formula

Least Common Multiple of 11,962 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 11,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,962) = 1

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

GCF(11,962) x common factors =1 x 1 = 1

LCM(11,962) = ( 11 × 962 ) / 1

LCM(11,962) = 10582 / 1

LCM(11,962) = 10582


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 8250/11, 7643/962

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 8250/11, 7643/962?

Answer: GCF of Numerators as per given numbers 8250/11, 7643/962 is

GCF of Numerators i.e. for 8250,7643 is 1

LCM of denominators i.e. for 11,962 is 10582.

Thus, GCF of Fractions is 1/10582.Finally, GCF of Fractions for 8250/11, 7643/962 is 1/10582.