Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8269/76,1241/444
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 8269,1241
Greatest Common Factor of Numerators i.e. GCF of 8269,1241 is 1 .
LCM of Denominators means LCM of 76,444 as per the given fractions.
LCM of 76,444 is 8436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8269,1241
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1,8269
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1,17,73,1241
Greatest Common Factor
We found the factors 8269,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,1241 is 1.
Lets's calculate LCM of 76,444
2 | 76, 444 |
2 | 38, 222 |
19, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 111 = 8436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8436
Therefore, the GCF of Fractions 8269/76,1241/444 is 1/8436
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 76,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,444) x common factors =4 x 1 = 4
LCM(76,444) = ( 76 × 444 ) / 4
LCM(76,444) = 33744 / 4
LCM(76,444) = 8436
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 8269/76, 1241/444?
Answer: GCF of Numerators as per given numbers 8269/76, 1241/444 is
GCF of Numerators i.e. for 8269,1241 is 1
LCM of denominators i.e. for 76,444 is 8436.
Thus, GCF of Fractions is 1/8436.Finally, GCF of Fractions for 8269/76, 1241/444 is 1/8436.