Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/51,25/96,91/75,57/43
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 9,25,91,57
Greatest Common Factor of Numerators i.e. GCF of 9,25,91,57 is 1 .
LCM of Denominators means LCM of 51,96,75,43 as per the given fractions.
LCM of 51,96,75,43 is 1754400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,25,91,57
∴ 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 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 9,25,91,57 . The biggest common factor number is the GCF number.
So the greatest common factor 9,25,91,57 is 1.
Lets's calculate LCM of 51,96,75,43
3 | 51, 96, 75, 43 |
17, 32, 25, 43 |
∴ So the LCM of the given numbers is 3 x 17 x 32 x 25 x 43 = 1754400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1754400
Therefore, the GCF of Fractions 9/51,25/96,91/75,57/43 is 1/1754400
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 51,96,75,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,96,75,43) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(51,96,75,43) x common factors =1 x 9 = 9
LCM(51,96,75,43) = ( 51 × 96 × 75 × 43 ) / 9
LCM(51,96,75,43) = 15789600 / 9
LCM(51,96,75,43) = 1754400
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 9/51, 25/96, 91/75, 57/43?
Answer: GCF of Numerators as per given numbers 9/51, 25/96, 91/75, 57/43 is
GCF of Numerators i.e. for 9,25,91,57 is 1
LCM of denominators i.e. for 51,96,75,43 is 1754400.
Thus, GCF of Fractions is 1/1754400.Finally, GCF of Fractions for 9/51, 25/96, 91/75, 57/43 is 1/1754400.