Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/28,90/28,54/15,26/245
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 91,90,54,26
Greatest Common Factor of Numerators i.e. GCF of 91,90,54,26 is 1 .
LCM of Denominators means LCM of 28,28,15,245 as per the given fractions.
LCM of 28,28,15,245 is 2940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,90,54,26
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
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 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Greatest Common Factor
We found the factors 91,90,54,26 . The biggest common factor number is the GCF number.
So the greatest common factor 91,90,54,26 is 1.
Lets's calculate LCM of 28,28,15,245
2 | 28, 28, 15, 245 |
2 | 14, 14, 15, 245 |
5 | 7, 7, 15, 245 |
7 | 7, 7, 3, 49 |
1, 1, 3, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 1 x 3 x 7 = 2940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2940
Therefore, the GCF of Fractions 91/28,90/28,54/15,26/245 is 1/2940
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 28,28,15,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,28,15,245) = 1
common factors(in case of two or more numbers have common factors) = 980
GCF(28,28,15,245) x common factors =1 x 980 = 980
LCM(28,28,15,245) = ( 28 × 28 × 15 × 245 ) / 980
LCM(28,28,15,245) = 2881200 / 980
LCM(28,28,15,245) = 2940
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 91/28, 90/28, 54/15, 26/245?
Answer: GCF of Numerators as per given numbers 91/28, 90/28, 54/15, 26/245 is
GCF of Numerators i.e. for 91,90,54,26 is 1
LCM of denominators i.e. for 28,28,15,245 is 2940.
Thus, GCF of Fractions is 1/2940.Finally, GCF of Fractions for 91/28, 90/28, 54/15, 26/245 is 1/2940.