Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/91,230/77,835/204
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 25,230,835
Greatest Common Factor of Numerators i.e. GCF of 25,230,835 is 5 .
LCM of Denominators means LCM of 91,77,204 as per the given fractions.
LCM of 91,77,204 is 204204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,230,835
5 | 25, 230, 835 |
5, 46, 167 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 25,230,835 . The biggest common factor number is the GCF number.
So the greatest common factor 25,230,835 is 5.
Lets's calculate LCM of 91,77,204
7 | 91, 77, 204 |
13, 11, 204 |
∴ So the LCM of the given numbers is 7 x 13 x 11 x 204 = 204204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/204204
Therefore, the GCF of Fractions 25/91,230/77,835/204 is 5/204204
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 91,77,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,77,204) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,77,204) x common factors =1 x 7 = 7
LCM(91,77,204) = ( 91 × 77 × 204 ) / 7
LCM(91,77,204) = 1429428 / 7
LCM(91,77,204) = 204204
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 25/91, 230/77, 835/204?
Answer: GCF of Numerators as per given numbers 25/91, 230/77, 835/204 is
GCF of Numerators i.e. for 25,230,835 is 5
LCM of denominators i.e. for 91,77,204 is 204204.
Thus, GCF of Fractions is 5/204204.Finally, GCF of Fractions for 25/91, 230/77, 835/204 is 5/204204.