Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6382/39,4045/822
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 6382,4045
Greatest Common Factor of Numerators i.e. GCF of 6382,4045 is 1 .
LCM of Denominators means LCM of 39,822 as per the given fractions.
LCM of 39,822 is 10686 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6382,4045
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6382
List of positive integer factors of 6382 that divides 6382 without a remainder.
1,2,3191,6382
Factors of 4045
List of positive integer factors of 4045 that divides 4045 without a remainder.
1,5,809,4045
Greatest Common Factor
We found the factors 6382,4045 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,4045 is 1.
Lets's calculate LCM of 39,822
3 | 39, 822 |
13, 274 |
∴ So the LCM of the given numbers is 3 x 13 x 274 = 10686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10686
Therefore, the GCF of Fractions 6382/39,4045/822 is 1/10686
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 39,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,822) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,822) x common factors =3 x 1 = 3
LCM(39,822) = ( 39 × 822 ) / 3
LCM(39,822) = 32058 / 3
LCM(39,822) = 10686
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 6382/39, 4045/822?
Answer: GCF of Numerators as per given numbers 6382/39, 4045/822 is
GCF of Numerators i.e. for 6382,4045 is 1
LCM of denominators i.e. for 39,822 is 10686.
Thus, GCF of Fractions is 1/10686.Finally, GCF of Fractions for 6382/39, 4045/822 is 1/10686.