Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1883/925,4332/994
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 1883,4332
Greatest Common Factor of Numerators i.e. GCF of 1883,4332 is 1 .
LCM of Denominators means LCM of 925,994 as per the given fractions.
LCM of 925,994 is 919450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1883,4332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1883
List of positive integer factors of 1883 that divides 1883 without a remainder.
1,7,269,1883
Factors of 4332
List of positive integer factors of 4332 that divides 4332 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Greatest Common Factor
We found the factors 1883,4332 . The biggest common factor number is the GCF number.
So the greatest common factor 1883,4332 is 1.
Lets's calculate LCM of 925,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 919450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/919450
Therefore, the GCF of Fractions 1883/925,4332/994 is 1/919450
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 925,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,994) x common factors =1 x 1 = 1
LCM(925,994) = ( 925 × 994 ) / 1
LCM(925,994) = 919450 / 1
LCM(925,994) = 919450
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 1883/925, 4332/994?
Answer: GCF of Numerators as per given numbers 1883/925, 4332/994 is
GCF of Numerators i.e. for 1883,4332 is 1
LCM of denominators i.e. for 925,994 is 919450.
Thus, GCF of Fractions is 1/919450.Finally, GCF of Fractions for 1883/925, 4332/994 is 1/919450.