Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 722/96,538/20,915/970
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 722,538,915
Greatest Common Factor of Numerators i.e. GCF of 722,538,915 is 1 .
LCM of Denominators means LCM of 96,20,970 as per the given fractions.
LCM of 96,20,970 is 46560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 722,538,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 722,538,915 . The biggest common factor number is the GCF number.
So the greatest common factor 722,538,915 is 1.
Lets's calculate LCM of 96,20,970
2 | 96, 20, 970 |
2 | 48, 10, 485 |
5 | 24, 5, 485 |
24, 1, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 24 x 1 x 97 = 46560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46560
Therefore, the GCF of Fractions 722/96,538/20,915/970 is 1/46560
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 96,20,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,20,970) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(96,20,970) x common factors =2 x 20 = 40
LCM(96,20,970) = ( 96 × 20 × 970 ) / 40
LCM(96,20,970) = 1862400 / 40
LCM(96,20,970) = 46560
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 722/96, 538/20, 915/970?
Answer: GCF of Numerators as per given numbers 722/96, 538/20, 915/970 is
GCF of Numerators i.e. for 722,538,915 is 1
LCM of denominators i.e. for 96,20,970 is 46560.
Thus, GCF of Fractions is 1/46560.Finally, GCF of Fractions for 722/96, 538/20, 915/970 is 1/46560.