Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9747/980,8560/9064
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 9747,8560
Greatest Common Factor of Numerators i.e. GCF of 9747,8560 is 1 .
LCM of Denominators means LCM of 980,9064 as per the given fractions.
LCM of 980,9064 is 2220680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9747,8560
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9747
List of positive integer factors of 9747 that divides 9747 without a remainder.
1,3,9,19,27,57,171,361,513,1083,3249,9747
Factors of 8560
List of positive integer factors of 8560 that divides 8560 without a remainder.
1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Greatest Common Factor
We found the factors 9747,8560 . The biggest common factor number is the GCF number.
So the greatest common factor 9747,8560 is 1.
Lets's calculate LCM of 980,9064
2 | 980, 9064 |
2 | 490, 4532 |
245, 2266 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 2266 = 2220680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2220680
Therefore, the GCF of Fractions 9747/980,8560/9064 is 1/2220680
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 980,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,9064) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,9064) x common factors =4 x 1 = 4
LCM(980,9064) = ( 980 × 9064 ) / 4
LCM(980,9064) = 8882720 / 4
LCM(980,9064) = 2220680
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 9747/980, 8560/9064?
Answer: GCF of Numerators as per given numbers 9747/980, 8560/9064 is
GCF of Numerators i.e. for 9747,8560 is 1
LCM of denominators i.e. for 980,9064 is 2220680.
Thus, GCF of Fractions is 1/2220680.Finally, GCF of Fractions for 9747/980, 8560/9064 is 1/2220680.