Greatest Common Factor of 8775/136, 9215/9092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8775/136, 9215/9092

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 8775/136,9215/9092

Given fractions are 8775/136,9215/9092

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 8775,9215

Greatest Common Factor of Numerators i.e. GCF of 8775,9215 is 5 .

LCM of Denominators means LCM of 136,9092 as per the given fractions.

LCM of 136,9092 is 309128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8775,9215

GCF of Fractions 8775/136,9215/9092 is 5/309128

5 8775, 9215
1755, 1843

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

Greatest Common Factor of 8775,9215 By Matching Biggest Common Factor Method

Greatest Common Factor of 8775,9215 By Matching Biggest Common Factor Method

Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775

Factors of 9215

List of positive integer factors of 9215 that divides 9215 without a remainder.

1,5,19,95,97,485,1843,9215

Greatest Common Factor

We found the factors 8775,9215 . The biggest common factor number is the GCF number.
So the greatest common factor 8775,9215 is 5.

Lets's calculate LCM of 136,9092

2 136, 9092
2 68, 4546
34, 2273

∴ So the LCM of the given numbers is 2 x 2 x 34 x 2273 = 309128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/309128

Therefore, the GCF of Fractions 8775/136,9215/9092 is 5/309128

Least Common Multiple of 136,9092 with GCF Formula

Least Common Multiple of 136,9092 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 136,9092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,9092) = 4

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

GCF(136,9092) x common factors =4 x 1 = 4

LCM(136,9092) = ( 136 × 9092 ) / 4

LCM(136,9092) = 1236512 / 4

LCM(136,9092) = 309128


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 8775/136, 9215/9092

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 8775/136, 9215/9092?

Answer: GCF of Numerators as per given numbers 8775/136, 9215/9092 is

GCF of Numerators i.e. for 8775,9215 is 5

LCM of denominators i.e. for 136,9092 is 309128.

Thus, GCF of Fractions is 5/309128.Finally, GCF of Fractions for 8775/136, 9215/9092 is 5/309128.