Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9903/666,6496/9352
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 9903,6496
Greatest Common Factor of Numerators i.e. GCF of 9903,6496 is 1 .
LCM of Denominators means LCM of 666,9352 as per the given fractions.
LCM of 666,9352 is 3114216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9903,6496
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9903
List of positive integer factors of 9903 that divides 9903 without a remainder.
1,3,3301,9903
Factors of 6496
List of positive integer factors of 6496 that divides 6496 without a remainder.
1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496
Greatest Common Factor
We found the factors 9903,6496 . The biggest common factor number is the GCF number.
So the greatest common factor 9903,6496 is 1.
Lets's calculate LCM of 666,9352
2 | 666, 9352 |
333, 4676 |
∴ So the LCM of the given numbers is 2 x 333 x 4676 = 3114216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3114216
Therefore, the GCF of Fractions 9903/666,6496/9352 is 1/3114216
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 666,9352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,9352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(666,9352) x common factors =2 x 1 = 2
LCM(666,9352) = ( 666 × 9352 ) / 2
LCM(666,9352) = 6228432 / 2
LCM(666,9352) = 3114216
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 9903/666, 6496/9352?
Answer: GCF of Numerators as per given numbers 9903/666, 6496/9352 is
GCF of Numerators i.e. for 9903,6496 is 1
LCM of denominators i.e. for 666,9352 is 3114216.
Thus, GCF of Fractions is 1/3114216.Finally, GCF of Fractions for 9903/666, 6496/9352 is 1/3114216.