Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 902/80,115/6084
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 902,115
Greatest Common Factor of Numerators i.e. GCF of 902,115 is 1 .
LCM of Denominators means LCM of 80,6084 as per the given fractions.
LCM of 80,6084 is 121680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 902,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Greatest Common Factor
We found the factors 902,115 . The biggest common factor number is the GCF number.
So the greatest common factor 902,115 is 1.
Lets's calculate LCM of 80,6084
2 | 80, 6084 |
2 | 40, 3042 |
20, 1521 |
∴ So the LCM of the given numbers is 2 x 2 x 20 x 1521 = 121680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121680
Therefore, the GCF of Fractions 902/80,115/6084 is 1/121680
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 80,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,6084) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(80,6084) x common factors =4 x 1 = 4
LCM(80,6084) = ( 80 × 6084 ) / 4
LCM(80,6084) = 486720 / 4
LCM(80,6084) = 121680
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 902/80, 115/6084?
Answer: GCF of Numerators as per given numbers 902/80, 115/6084 is
GCF of Numerators i.e. for 902,115 is 1
LCM of denominators i.e. for 80,6084 is 121680.
Thus, GCF of Fractions is 1/121680.Finally, GCF of Fractions for 902/80, 115/6084 is 1/121680.