Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8225/77,5275/319
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 8225,5275
Greatest Common Factor of Numerators i.e. GCF of 8225,5275 is 25 .
LCM of Denominators means LCM of 77,319 as per the given fractions.
LCM of 77,319 is 2233 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8225,5275
5 | 8225, 5275 |
5 | 1645, 1055 |
329, 211 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 8225
List of positive integer factors of 8225 that divides 8225 without a remainder.
1,5,7,25,35,47,175,235,329,1175,1645,8225
Factors of 5275
List of positive integer factors of 5275 that divides 5275 without a remainder.
1,5,25,211,1055,5275
Greatest Common Factor
We found the factors 8225,5275 . The biggest common factor number is the GCF number.
So the greatest common factor 8225,5275 is 25.
Lets's calculate LCM of 77,319
11 | 77, 319 |
7, 29 |
∴ So the LCM of the given numbers is 11 x 7 x 29 = 2233
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2233
Therefore, the GCF of Fractions 8225/77,5275/319 is 25/2233
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 77,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,319) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(77,319) x common factors =11 x 1 = 11
LCM(77,319) = ( 77 × 319 ) / 11
LCM(77,319) = 24563 / 11
LCM(77,319) = 2233
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 8225/77, 5275/319?
Answer: GCF of Numerators as per given numbers 8225/77, 5275/319 is
GCF of Numerators i.e. for 8225,5275 is 25
LCM of denominators i.e. for 77,319 is 2233.
Thus, GCF of Fractions is 25/2233.Finally, GCF of Fractions for 8225/77, 5275/319 is 25/2233.