Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3332/24,7723/425
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 3332,7723
Greatest Common Factor of Numerators i.e. GCF of 3332,7723 is 1 .
LCM of Denominators means LCM of 24,425 as per the given fractions.
LCM of 24,425 is 10200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3332,7723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3332
List of positive integer factors of 3332 that divides 3332 without a remainder.
1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332
Factors of 7723
List of positive integer factors of 7723 that divides 7723 without a remainder.
1,7723
Greatest Common Factor
We found the factors 3332,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 3332,7723 is 1.
Lets's calculate LCM of 24,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 10200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10200
Therefore, the GCF of Fractions 3332/24,7723/425 is 1/10200
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 24,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,425) x common factors =1 x 1 = 1
LCM(24,425) = ( 24 × 425 ) / 1
LCM(24,425) = 10200 / 1
LCM(24,425) = 10200
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 3332/24, 7723/425?
Answer: GCF of Numerators as per given numbers 3332/24, 7723/425 is
GCF of Numerators i.e. for 3332,7723 is 1
LCM of denominators i.e. for 24,425 is 10200.
Thus, GCF of Fractions is 1/10200.Finally, GCF of Fractions for 3332/24, 7723/425 is 1/10200.