Greatest Common Factor of 9278/850, 1302/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9278/850, 1302/115

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 9278/850,1302/115

Given fractions are 9278/850,1302/115

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 9278,1302

Greatest Common Factor of Numerators i.e. GCF of 9278,1302 is 2 .

LCM of Denominators means LCM of 850,115 as per the given fractions.

LCM of 850,115 is 19550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9278,1302

GCF of Fractions 9278/850,1302/115 is 2/19550

2 9278, 1302
4639, 651

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

Greatest Common Factor of 9278,1302 By Matching Biggest Common Factor Method

Greatest Common Factor of 9278,1302 By Matching Biggest Common Factor Method

Factors of 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1,2,4639,9278

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 9278,1302 . The biggest common factor number is the GCF number.
So the greatest common factor 9278,1302 is 2.

Lets's calculate LCM of 850,115

5 850, 115
170, 23

∴ So the LCM of the given numbers is 5 x 170 x 23 = 19550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19550

Therefore, the GCF of Fractions 9278/850,1302/115 is 2/19550

Least Common Multiple of 850,115 with GCF Formula

Least Common Multiple of 850,115 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 850,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,115) = 5

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

GCF(850,115) x common factors =5 x 1 = 5

LCM(850,115) = ( 850 × 115 ) / 5

LCM(850,115) = 97750 / 5

LCM(850,115) = 19550


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 9278/850, 1302/115

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 9278/850, 1302/115?

Answer: GCF of Numerators as per given numbers 9278/850, 1302/115 is

GCF of Numerators i.e. for 9278,1302 is 2

LCM of denominators i.e. for 850,115 is 19550.

Thus, GCF of Fractions is 2/19550.Finally, GCF of Fractions for 9278/850, 1302/115 is 2/19550.