Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/610,9894/318
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 301,9894
Greatest Common Factor of Numerators i.e. GCF of 301,9894 is 1 .
LCM of Denominators means LCM of 610,318 as per the given fractions.
LCM of 610,318 is 96990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 301,9894
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 9894
List of positive integer factors of 9894 that divides 9894 without a remainder.
1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894
Greatest Common Factor
We found the factors 301,9894 . The biggest common factor number is the GCF number.
So the greatest common factor 301,9894 is 1.
Lets's calculate LCM of 610,318
2 | 610, 318 |
305, 159 |
∴ So the LCM of the given numbers is 2 x 305 x 159 = 96990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96990
Therefore, the GCF of Fractions 301/610,9894/318 is 1/96990
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 610,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,318) x common factors =2 x 1 = 2
LCM(610,318) = ( 610 × 318 ) / 2
LCM(610,318) = 193980 / 2
LCM(610,318) = 96990
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 301/610, 9894/318?
Answer: GCF of Numerators as per given numbers 301/610, 9894/318 is
GCF of Numerators i.e. for 301,9894 is 1
LCM of denominators i.e. for 610,318 is 96990.
Thus, GCF of Fractions is 1/96990.Finally, GCF of Fractions for 301/610, 9894/318 is 1/96990.