Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9635/27,1132/144
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 9635,1132
Greatest Common Factor of Numerators i.e. GCF of 9635,1132 is 1 .
LCM of Denominators means LCM of 27,144 as per the given fractions.
LCM of 27,144 is 432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9635,1132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9635
List of positive integer factors of 9635 that divides 9635 without a remainder.
1,5,41,47,205,235,1927,9635
Factors of 1132
List of positive integer factors of 1132 that divides 1132 without a remainder.
1,2,4,283,566,1132
Greatest Common Factor
We found the factors 9635,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 9635,1132 is 1.
Lets's calculate LCM of 27,144
3 | 27, 144 |
3 | 9, 48 |
3, 16 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 16 = 432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432
Therefore, the GCF of Fractions 9635/27,1132/144 is 1/432
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 27,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,144) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,144) x common factors =9 x 1 = 9
LCM(27,144) = ( 27 × 144 ) / 9
LCM(27,144) = 3888 / 9
LCM(27,144) = 432
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 9635/27, 1132/144?
Answer: GCF of Numerators as per given numbers 9635/27, 1132/144 is
GCF of Numerators i.e. for 9635,1132 is 1
LCM of denominators i.e. for 27,144 is 432.
Thus, GCF of Fractions is 1/432.Finally, GCF of Fractions for 9635/27, 1132/144 is 1/432.