Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 863/208,6014/958
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 863,6014
Greatest Common Factor of Numerators i.e. GCF of 863,6014 is 1 .
LCM of Denominators means LCM of 208,958 as per the given fractions.
LCM of 208,958 is 99632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 863,6014
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 6014
List of positive integer factors of 6014 that divides 6014 without a remainder.
1,2,31,62,97,194,3007,6014
Greatest Common Factor
We found the factors 863,6014 . The biggest common factor number is the GCF number.
So the greatest common factor 863,6014 is 1.
Lets's calculate LCM of 208,958
2 | 208, 958 |
104, 479 |
∴ So the LCM of the given numbers is 2 x 104 x 479 = 99632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99632
Therefore, the GCF of Fractions 863/208,6014/958 is 1/99632
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 208,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(208,958) x common factors =2 x 1 = 2
LCM(208,958) = ( 208 × 958 ) / 2
LCM(208,958) = 199264 / 2
LCM(208,958) = 99632
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 863/208, 6014/958?
Answer: GCF of Numerators as per given numbers 863/208, 6014/958 is
GCF of Numerators i.e. for 863,6014 is 1
LCM of denominators i.e. for 208,958 is 99632.
Thus, GCF of Fractions is 1/99632.Finally, GCF of Fractions for 863/208, 6014/958 is 1/99632.