Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2222/725,9593/382
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 2222,9593
Greatest Common Factor of Numerators i.e. GCF of 2222,9593 is 1 .
LCM of Denominators means LCM of 725,382 as per the given fractions.
LCM of 725,382 is 276950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2222,9593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2222
List of positive integer factors of 2222 that divides 2222 without a remainder.
1,2,11,22,101,202,1111,2222
Factors of 9593
List of positive integer factors of 9593 that divides 9593 without a remainder.
1,53,181,9593
Greatest Common Factor
We found the factors 2222,9593 . The biggest common factor number is the GCF number.
So the greatest common factor 2222,9593 is 1.
Lets's calculate LCM of 725,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 276950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276950
Therefore, the GCF of Fractions 2222/725,9593/382 is 1/276950
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 725,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,382) x common factors =1 x 1 = 1
LCM(725,382) = ( 725 × 382 ) / 1
LCM(725,382) = 276950 / 1
LCM(725,382) = 276950
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 2222/725, 9593/382?
Answer: GCF of Numerators as per given numbers 2222/725, 9593/382 is
GCF of Numerators i.e. for 2222,9593 is 1
LCM of denominators i.e. for 725,382 is 276950.
Thus, GCF of Fractions is 1/276950.Finally, GCF of Fractions for 2222/725, 9593/382 is 1/276950.