Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/40,25/66,72/21,730/20
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 91,25,72,730
Greatest Common Factor of Numerators i.e. GCF of 91,25,72,730 is 1 .
LCM of Denominators means LCM of 40,66,21,20 as per the given fractions.
LCM of 40,66,21,20 is 9240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,25,72,730
∴ 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 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 91,25,72,730 . The biggest common factor number is the GCF number.
So the greatest common factor 91,25,72,730 is 1.
Lets's calculate LCM of 40,66,21,20
2 | 40, 66, 21, 20 |
2 | 20, 33, 21, 10 |
3 | 5, 33, 21, 10 |
5 | 5, 11, 7, 10 |
1, 11, 7, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 11 x 7 x 2 = 9240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240
Therefore, the GCF of Fractions 91/40,25/66,72/21,730/20 is 1/9240
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 40,66,21,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,66,21,20) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(40,66,21,20) x common factors =1 x 120 = 120
LCM(40,66,21,20) = ( 40 × 66 × 21 × 20 ) / 120
LCM(40,66,21,20) = 1108800 / 120
LCM(40,66,21,20) = 9240
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 91/40, 25/66, 72/21, 730/20?
Answer: GCF of Numerators as per given numbers 91/40, 25/66, 72/21, 730/20 is
GCF of Numerators i.e. for 91,25,72,730 is 1
LCM of denominators i.e. for 40,66,21,20 is 9240.
Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 91/40, 25/66, 72/21, 730/20 is 1/9240.