Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3971/69,1614/366
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 3971,1614
Greatest Common Factor of Numerators i.e. GCF of 3971,1614 is 1 .
LCM of Denominators means LCM of 69,366 as per the given fractions.
LCM of 69,366 is 8418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3971,1614
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3971
List of positive integer factors of 3971 that divides 3971 without a remainder.
1,11,19,209,361,3971
Factors of 1614
List of positive integer factors of 1614 that divides 1614 without a remainder.
1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 3971,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 3971,1614 is 1.
Lets's calculate LCM of 69,366
3 | 69, 366 |
23, 122 |
∴ So the LCM of the given numbers is 3 x 23 x 122 = 8418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8418
Therefore, the GCF of Fractions 3971/69,1614/366 is 1/8418
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 69,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,366) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,366) x common factors =3 x 1 = 3
LCM(69,366) = ( 69 × 366 ) / 3
LCM(69,366) = 25254 / 3
LCM(69,366) = 8418
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 3971/69, 1614/366?
Answer: GCF of Numerators as per given numbers 3971/69, 1614/366 is
GCF of Numerators i.e. for 3971,1614 is 1
LCM of denominators i.e. for 69,366 is 8418.
Thus, GCF of Fractions is 1/8418.Finally, GCF of Fractions for 3971/69, 1614/366 is 1/8418.