Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6220/399,3952/5853
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 6220,3952
Greatest Common Factor of Numerators i.e. GCF of 6220,3952 is 4 .
LCM of Denominators means LCM of 399,5853 as per the given fractions.
LCM of 399,5853 is 778449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6220,3952
2 | 6220, 3952 |
2 | 3110, 1976 |
1555, 988 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6220
List of positive integer factors of 6220 that divides 6220 without a remainder.
1,2,4,5,10,20,311,622,1244,1555,3110,6220
Factors of 3952
List of positive integer factors of 3952 that divides 3952 without a remainder.
1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Greatest Common Factor
We found the factors 6220,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 6220,3952 is 4.
Lets's calculate LCM of 399,5853
3 | 399, 5853 |
133, 1951 |
∴ So the LCM of the given numbers is 3 x 133 x 1951 = 778449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/778449
Therefore, the GCF of Fractions 6220/399,3952/5853 is 4/778449
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 399,5853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,5853) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,5853) x common factors =3 x 1 = 3
LCM(399,5853) = ( 399 × 5853 ) / 3
LCM(399,5853) = 2335347 / 3
LCM(399,5853) = 778449
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 6220/399, 3952/5853?
Answer: GCF of Numerators as per given numbers 6220/399, 3952/5853 is
GCF of Numerators i.e. for 6220,3952 is 4
LCM of denominators i.e. for 399,5853 is 778449.
Thus, GCF of Fractions is 4/778449.Finally, GCF of Fractions for 6220/399, 3952/5853 is 4/778449.