Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8330/985,9574/5930
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 8330,9574
Greatest Common Factor of Numerators i.e. GCF of 8330,9574 is 2 .
LCM of Denominators means LCM of 985,5930 as per the given fractions.
LCM of 985,5930 is 1168210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8330,9574
2 | 8330, 9574 |
4165, 4787 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8330
List of positive integer factors of 8330 that divides 8330 without a remainder.
1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330
Factors of 9574
List of positive integer factors of 9574 that divides 9574 without a remainder.
1,2,4787,9574
Greatest Common Factor
We found the factors 8330,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 8330,9574 is 2.
Lets's calculate LCM of 985,5930
5 | 985, 5930 |
197, 1186 |
∴ So the LCM of the given numbers is 5 x 197 x 1186 = 1168210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1168210
Therefore, the GCF of Fractions 8330/985,9574/5930 is 2/1168210
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 985,5930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,5930) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(985,5930) x common factors =5 x 1 = 5
LCM(985,5930) = ( 985 × 5930 ) / 5
LCM(985,5930) = 5841050 / 5
LCM(985,5930) = 1168210
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 8330/985, 9574/5930?
Answer: GCF of Numerators as per given numbers 8330/985, 9574/5930 is
GCF of Numerators i.e. for 8330,9574 is 2
LCM of denominators i.e. for 985,5930 is 1168210.
Thus, GCF of Fractions is 2/1168210.Finally, GCF of Fractions for 8330/985, 9574/5930 is 2/1168210.