Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8612/399,1626/636
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 8612,1626
Greatest Common Factor of Numerators i.e. GCF of 8612,1626 is 2 .
LCM of Denominators means LCM of 399,636 as per the given fractions.
LCM of 399,636 is 84588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8612,1626
2 | 8612, 1626 |
4306, 813 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8612
List of positive integer factors of 8612 that divides 8612 without a remainder.
1,2,4,2153,4306,8612
Factors of 1626
List of positive integer factors of 1626 that divides 1626 without a remainder.
1,2,3,6,271,542,813,1626
Greatest Common Factor
We found the factors 8612,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 8612,1626 is 2.
Lets's calculate LCM of 399,636
3 | 399, 636 |
133, 212 |
∴ So the LCM of the given numbers is 3 x 133 x 212 = 84588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84588
Therefore, the GCF of Fractions 8612/399,1626/636 is 2/84588
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 399,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,636) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,636) x common factors =3 x 1 = 3
LCM(399,636) = ( 399 × 636 ) / 3
LCM(399,636) = 253764 / 3
LCM(399,636) = 84588
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 8612/399, 1626/636?
Answer: GCF of Numerators as per given numbers 8612/399, 1626/636 is
GCF of Numerators i.e. for 8612,1626 is 2
LCM of denominators i.e. for 399,636 is 84588.
Thus, GCF of Fractions is 2/84588.Finally, GCF of Fractions for 8612/399, 1626/636 is 2/84588.