Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7901/568,1612/4836
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 7901,1612
Greatest Common Factor of Numerators i.e. GCF of 7901,1612 is 1 .
LCM of Denominators means LCM of 568,4836 as per the given fractions.
LCM of 568,4836 is 686712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7901,1612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7901
List of positive integer factors of 7901 that divides 7901 without a remainder.
1,7901
Factors of 1612
List of positive integer factors of 1612 that divides 1612 without a remainder.
1,2,4,13,26,31,52,62,124,403,806,1612
Greatest Common Factor
We found the factors 7901,1612 . The biggest common factor number is the GCF number.
So the greatest common factor 7901,1612 is 1.
Lets's calculate LCM of 568,4836
2 | 568, 4836 |
2 | 284, 2418 |
142, 1209 |
∴ So the LCM of the given numbers is 2 x 2 x 142 x 1209 = 686712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686712
Therefore, the GCF of Fractions 7901/568,1612/4836 is 1/686712
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 568,4836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,4836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(568,4836) x common factors =4 x 1 = 4
LCM(568,4836) = ( 568 × 4836 ) / 4
LCM(568,4836) = 2746848 / 4
LCM(568,4836) = 686712
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 7901/568, 1612/4836?
Answer: GCF of Numerators as per given numbers 7901/568, 1612/4836 is
GCF of Numerators i.e. for 7901,1612 is 1
LCM of denominators i.e. for 568,4836 is 686712.
Thus, GCF of Fractions is 1/686712.Finally, GCF of Fractions for 7901/568, 1612/4836 is 1/686712.