Greatest Common Factor of 9078/424, 1105/1222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9078/424, 1105/1222

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 9078/424,1105/1222

Given fractions are 9078/424,1105/1222

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 9078,1105

Greatest Common Factor of Numerators i.e. GCF of 9078,1105 is 17 .

LCM of Denominators means LCM of 424,1222 as per the given fractions.

LCM of 424,1222 is 259064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9078,1105

GCF of Fractions 9078/424,1105/1222 is 17/259064

17 9078, 1105
534, 65

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9078,1105 By Matching Biggest Common Factor Method

Greatest Common Factor of 9078,1105 By Matching Biggest Common Factor Method

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 9078,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 9078,1105 is 17.

Lets's calculate LCM of 424,1222

2 424, 1222
212, 611

∴ So the LCM of the given numbers is 2 x 212 x 611 = 259064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/259064

Therefore, the GCF of Fractions 9078/424,1105/1222 is 17/259064

Least Common Multiple of 424,1222 with GCF Formula

Least Common Multiple of 424,1222 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 424,1222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,1222) = 2

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

GCF(424,1222) x common factors =2 x 1 = 2

LCM(424,1222) = ( 424 × 1222 ) / 2

LCM(424,1222) = 518128 / 2

LCM(424,1222) = 259064


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 9078/424, 1105/1222

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 9078/424, 1105/1222?

Answer: GCF of Numerators as per given numbers 9078/424, 1105/1222 is

GCF of Numerators i.e. for 9078,1105 is 17

LCM of denominators i.e. for 424,1222 is 259064.

Thus, GCF of Fractions is 17/259064.Finally, GCF of Fractions for 9078/424, 1105/1222 is 17/259064.