Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/441,9802/6375
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 913,9802
Greatest Common Factor of Numerators i.e. GCF of 913,9802 is 1 .
LCM of Denominators means LCM of 441,6375 as per the given fractions.
LCM of 441,6375 is 937125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 913,9802
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 9802
List of positive integer factors of 9802 that divides 9802 without a remainder.
1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 913,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 913,9802 is 1.
Lets's calculate LCM of 441,6375
3 | 441, 6375 |
147, 2125 |
∴ So the LCM of the given numbers is 3 x 147 x 2125 = 937125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/937125
Therefore, the GCF of Fractions 913/441,9802/6375 is 1/937125
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 441,6375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,6375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(441,6375) x common factors =3 x 1 = 3
LCM(441,6375) = ( 441 × 6375 ) / 3
LCM(441,6375) = 2811375 / 3
LCM(441,6375) = 937125
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 913/441, 9802/6375?
Answer: GCF of Numerators as per given numbers 913/441, 9802/6375 is
GCF of Numerators i.e. for 913,9802 is 1
LCM of denominators i.e. for 441,6375 is 937125.
Thus, GCF of Fractions is 1/937125.Finally, GCF of Fractions for 913/441, 9802/6375 is 1/937125.