Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/36,307/32,221/52
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 9,307,221
Greatest Common Factor of Numerators i.e. GCF of 9,307,221 is 1 .
LCM of Denominators means LCM of 36,32,52 as per the given fractions.
LCM of 36,32,52 is 3744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,307,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 9,307,221 . The biggest common factor number is the GCF number.
So the greatest common factor 9,307,221 is 1.
Lets's calculate LCM of 36,32,52
2 | 36, 32, 52 |
2 | 18, 16, 26 |
9, 8, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 8 x 13 = 3744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744
Therefore, the GCF of Fractions 9/36,307/32,221/52 is 1/3744
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 36,32,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,32,52) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(36,32,52) x common factors =4 x 4 = 16
LCM(36,32,52) = ( 36 × 32 × 52 ) / 16
LCM(36,32,52) = 59904 / 16
LCM(36,32,52) = 3744
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 9/36, 307/32, 221/52?
Answer: GCF of Numerators as per given numbers 9/36, 307/32, 221/52 is
GCF of Numerators i.e. for 9,307,221 is 1
LCM of denominators i.e. for 36,32,52 is 3744.
Thus, GCF of Fractions is 1/3744.Finally, GCF of Fractions for 9/36, 307/32, 221/52 is 1/3744.