Greatest Common Factor of 9078/889, 1226/7395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9078/889, 1226/7395

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 9078/889,1226/7395

Given fractions are 9078/889,1226/7395

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 9078,1226

Greatest Common Factor of Numerators i.e. GCF of 9078,1226 is 2 .

LCM of Denominators means LCM of 889,7395 as per the given fractions.

LCM of 889,7395 is 6574155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9078,1226

GCF of Fractions 9078/889,1226/7395 is 2/6574155

2 9078, 1226
4539, 613

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

Greatest Common Factor of 9078,1226 By Matching Biggest Common Factor Method

Greatest Common Factor of 9078,1226 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 1226

List of positive integer factors of 1226 that divides 1226 without a remainder.

1,2,613,1226

Greatest Common Factor

We found the factors 9078,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 9078,1226 is 2.

Lets's calculate LCM of 889,7395

Given numbers has no common factors except 1. So, there LCM is their product i.e 6574155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6574155

Therefore, the GCF of Fractions 9078/889,1226/7395 is 2/6574155

Least Common Multiple of 889,7395 with GCF Formula

Least Common Multiple of 889,7395 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 889,7395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,7395) = 1

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

GCF(889,7395) x common factors =1 x 1 = 1

LCM(889,7395) = ( 889 × 7395 ) / 1

LCM(889,7395) = 6574155 / 1

LCM(889,7395) = 6574155


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 9078/889, 1226/7395

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 9078/889, 1226/7395?

Answer: GCF of Numerators as per given numbers 9078/889, 1226/7395 is

GCF of Numerators i.e. for 9078,1226 is 2

LCM of denominators i.e. for 889,7395 is 6574155.

Thus, GCF of Fractions is 2/6574155.Finally, GCF of Fractions for 9078/889, 1226/7395 is 2/6574155.