Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8820/25,9873/829
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 8820,9873
Greatest Common Factor of Numerators i.e. GCF of 8820,9873 is 9 .
LCM of Denominators means LCM of 25,829 as per the given fractions.
LCM of 25,829 is 20725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8820,9873
3 | 8820, 9873 |
3 | 2940, 3291 |
980, 1097 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 8820
List of positive integer factors of 8820 that divides 8820 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Factors of 9873
List of positive integer factors of 9873 that divides 9873 without a remainder.
1,3,9,1097,3291,9873
Greatest Common Factor
We found the factors 8820,9873 . The biggest common factor number is the GCF number.
So the greatest common factor 8820,9873 is 9.
Lets's calculate LCM of 25,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 20725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/20725
Therefore, the GCF of Fractions 8820/25,9873/829 is 9/20725
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 25,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,829) x common factors =1 x 1 = 1
LCM(25,829) = ( 25 × 829 ) / 1
LCM(25,829) = 20725 / 1
LCM(25,829) = 20725
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 8820/25, 9873/829?
Answer: GCF of Numerators as per given numbers 8820/25, 9873/829 is
GCF of Numerators i.e. for 8820,9873 is 9
LCM of denominators i.e. for 25,829 is 20725.
Thus, GCF of Fractions is 9/20725.Finally, GCF of Fractions for 8820/25, 9873/829 is 9/20725.