Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/52,63/27,49/58,226/52
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 81,63,49,226
Greatest Common Factor of Numerators i.e. GCF of 81,63,49,226 is 1 .
LCM of Denominators means LCM of 52,27,58,52 as per the given fractions.
LCM of 52,27,58,52 is 40716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,63,49,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 81,63,49,226 . The biggest common factor number is the GCF number.
So the greatest common factor 81,63,49,226 is 1.
Lets's calculate LCM of 52,27,58,52
2 | 52, 27, 58, 52 |
2 | 26, 27, 29, 26 |
13 | 13, 27, 29, 13 |
1, 27, 29, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 27 x 29 x 1 = 40716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40716
Therefore, the GCF of Fractions 81/52,63/27,49/58,226/52 is 1/40716
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 52,27,58,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,27,58,52) = 1
common factors(in case of two or more numbers have common factors) = 104
GCF(52,27,58,52) x common factors =1 x 104 = 104
LCM(52,27,58,52) = ( 52 × 27 × 58 × 52 ) / 104
LCM(52,27,58,52) = 4234464 / 104
LCM(52,27,58,52) = 40716
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 81/52, 63/27, 49/58, 226/52?
Answer: GCF of Numerators as per given numbers 81/52, 63/27, 49/58, 226/52 is
GCF of Numerators i.e. for 81,63,49,226 is 1
LCM of denominators i.e. for 52,27,58,52 is 40716.
Thus, GCF of Fractions is 1/40716.Finally, GCF of Fractions for 81/52, 63/27, 49/58, 226/52 is 1/40716.