Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/11,52/91,36/22,266/28
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 90,52,36,266
Greatest Common Factor of Numerators i.e. GCF of 90,52,36,266 is 2 .
LCM of Denominators means LCM of 11,91,22,28 as per the given fractions.
LCM of 11,91,22,28 is 4004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,52,36,266
2 | 90, 52, 36, 266 |
45, 26, 18, 133 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 90,52,36,266 . The biggest common factor number is the GCF number.
So the greatest common factor 90,52,36,266 is 2.
Lets's calculate LCM of 11,91,22,28
2 | 11, 91, 22, 28 |
7 | 11, 91, 11, 14 |
11 | 11, 13, 11, 2 |
1, 13, 1, 2 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 13 x 1 x 2 = 4004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4004
Therefore, the GCF of Fractions 90/11,52/91,36/22,266/28 is 2/4004
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 11,91,22,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,91,22,28) = 1
common factors(in case of two or more numbers have common factors) = 154
GCF(11,91,22,28) x common factors =1 x 154 = 154
LCM(11,91,22,28) = ( 11 × 91 × 22 × 28 ) / 154
LCM(11,91,22,28) = 616616 / 154
LCM(11,91,22,28) = 4004
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 90/11, 52/91, 36/22, 266/28?
Answer: GCF of Numerators as per given numbers 90/11, 52/91, 36/22, 266/28 is
GCF of Numerators i.e. for 90,52,36,266 is 2
LCM of denominators i.e. for 11,91,22,28 is 4004.
Thus, GCF of Fractions is 2/4004.Finally, GCF of Fractions for 90/11, 52/91, 36/22, 266/28 is 2/4004.