Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4582/316,1063/6242
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 4582,1063
Greatest Common Factor of Numerators i.e. GCF of 4582,1063 is 1 .
LCM of Denominators means LCM of 316,6242 as per the given fractions.
LCM of 316,6242 is 986236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4582,1063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4582
List of positive integer factors of 4582 that divides 4582 without a remainder.
1,2,29,58,79,158,2291,4582
Factors of 1063
List of positive integer factors of 1063 that divides 1063 without a remainder.
1,1063
Greatest Common Factor
We found the factors 4582,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 4582,1063 is 1.
Lets's calculate LCM of 316,6242
2 | 316, 6242 |
158, 3121 |
∴ So the LCM of the given numbers is 2 x 158 x 3121 = 986236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/986236
Therefore, the GCF of Fractions 4582/316,1063/6242 is 1/986236
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 316,6242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,6242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(316,6242) x common factors =2 x 1 = 2
LCM(316,6242) = ( 316 × 6242 ) / 2
LCM(316,6242) = 1972472 / 2
LCM(316,6242) = 986236
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 4582/316, 1063/6242?
Answer: GCF of Numerators as per given numbers 4582/316, 1063/6242 is
GCF of Numerators i.e. for 4582,1063 is 1
LCM of denominators i.e. for 316,6242 is 986236.
Thus, GCF of Fractions is 1/986236.Finally, GCF of Fractions for 4582/316, 1063/6242 is 1/986236.