Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5617/96,4689/970
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 5617,4689
Greatest Common Factor of Numerators i.e. GCF of 5617,4689 is 1 .
LCM of Denominators means LCM of 96,970 as per the given fractions.
LCM of 96,970 is 46560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5617,4689
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5617
List of positive integer factors of 5617 that divides 5617 without a remainder.
1,41,137,5617
Factors of 4689
List of positive integer factors of 4689 that divides 4689 without a remainder.
1,3,9,521,1563,4689
Greatest Common Factor
We found the factors 5617,4689 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,4689 is 1.
Lets's calculate LCM of 96,970
2 | 96, 970 |
48, 485 |
∴ So the LCM of the given numbers is 2 x 48 x 485 = 46560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46560
Therefore, the GCF of Fractions 5617/96,4689/970 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 96,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(96,970) x common factors =2 x 1 = 2
LCM(96,970) = ( 96 × 970 ) / 2
LCM(96,970) = 93120 / 2
LCM(96,970) = 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 5617/96, 4689/970?
Answer: GCF of Numerators as per given numbers 5617/96, 4689/970 is
GCF of Numerators i.e. for 5617,4689 is 1
LCM of denominators i.e. for 96,970 is 46560.
Thus, GCF of Fractions is 1/46560.Finally, GCF of Fractions for 5617/96, 4689/970 is 1/46560.