Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/638,4615/1827
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 91,4615
Greatest Common Factor of Numerators i.e. GCF of 91,4615 is 13 .
LCM of Denominators means LCM of 638,1827 as per the given fractions.
LCM of 638,1827 is 40194 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,4615
13 | 91, 4615 |
7, 355 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 4615
List of positive integer factors of 4615 that divides 4615 without a remainder.
1,5,13,65,71,355,923,4615
Greatest Common Factor
We found the factors 91,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 91,4615 is 13.
Lets's calculate LCM of 638,1827
29 | 638, 1827 |
22, 63 |
∴ So the LCM of the given numbers is 29 x 22 x 63 = 40194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/40194
Therefore, the GCF of Fractions 91/638,4615/1827 is 13/40194
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 638,1827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,1827) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(638,1827) x common factors =29 x 1 = 29
LCM(638,1827) = ( 638 × 1827 ) / 29
LCM(638,1827) = 1165626 / 29
LCM(638,1827) = 40194
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 91/638, 4615/1827?
Answer: GCF of Numerators as per given numbers 91/638, 4615/1827 is
GCF of Numerators i.e. for 91,4615 is 13
LCM of denominators i.e. for 638,1827 is 40194.
Thus, GCF of Fractions is 13/40194.Finally, GCF of Fractions for 91/638, 4615/1827 is 13/40194.