Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9860/28,9405/797
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 9860,9405
Greatest Common Factor of Numerators i.e. GCF of 9860,9405 is 5 .
LCM of Denominators means LCM of 28,797 as per the given fractions.
LCM of 28,797 is 22316 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9860,9405
5 | 9860, 9405 |
1972, 1881 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9860
List of positive integer factors of 9860 that divides 9860 without a remainder.
1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860
Factors of 9405
List of positive integer factors of 9405 that divides 9405 without a remainder.
1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 9860,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 9860,9405 is 5.
Lets's calculate LCM of 28,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 22316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/22316
Therefore, the GCF of Fractions 9860/28,9405/797 is 5/22316
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 28,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,797) x common factors =1 x 1 = 1
LCM(28,797) = ( 28 × 797 ) / 1
LCM(28,797) = 22316 / 1
LCM(28,797) = 22316
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 9860/28, 9405/797?
Answer: GCF of Numerators as per given numbers 9860/28, 9405/797 is
GCF of Numerators i.e. for 9860,9405 is 5
LCM of denominators i.e. for 28,797 is 22316.
Thus, GCF of Fractions is 5/22316.Finally, GCF of Fractions for 9860/28, 9405/797 is 5/22316.