Greatest Common Factor of 8095/15, 9375/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8095/15, 9375/526

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 8095/15,9375/526

Given fractions are 8095/15,9375/526

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 8095,9375

Greatest Common Factor of Numerators i.e. GCF of 8095,9375 is 5 .

LCM of Denominators means LCM of 15,526 as per the given fractions.

LCM of 15,526 is 7890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8095,9375

GCF of Fractions 8095/15,9375/526 is 5/7890

5 8095, 9375
1619, 1875

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8095,9375 By Matching Biggest Common Factor Method

Greatest Common Factor of 8095,9375 By Matching Biggest Common Factor Method

Factors of 8095

List of positive integer factors of 8095 that divides 8095 without a remainder.

1,5,1619,8095

Factors of 9375

List of positive integer factors of 9375 that divides 9375 without a remainder.

1,3,5,15,25,75,125,375,625,1875,3125,9375

Greatest Common Factor

We found the factors 8095,9375 . The biggest common factor number is the GCF number.
So the greatest common factor 8095,9375 is 5.

Lets's calculate LCM of 15,526

Given numbers has no common factors except 1. So, there LCM is their product i.e 7890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7890

Therefore, the GCF of Fractions 8095/15,9375/526 is 5/7890

Least Common Multiple of 15,526 with GCF Formula

Least Common Multiple of 15,526 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 15,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,526) = 1

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

GCF(15,526) x common factors =1 x 1 = 1

LCM(15,526) = ( 15 × 526 ) / 1

LCM(15,526) = 7890 / 1

LCM(15,526) = 7890


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 8095/15, 9375/526

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 8095/15, 9375/526?

Answer: GCF of Numerators as per given numbers 8095/15, 9375/526 is

GCF of Numerators i.e. for 8095,9375 is 5

LCM of denominators i.e. for 15,526 is 7890.

Thus, GCF of Fractions is 5/7890.Finally, GCF of Fractions for 8095/15, 9375/526 is 5/7890.