Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4152/906,6817/8782
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 4152,6817
Greatest Common Factor of Numerators i.e. GCF of 4152,6817 is 1 .
LCM of Denominators means LCM of 906,8782 as per the given fractions.
LCM of 906,8782 is 3978246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4152,6817
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4152
List of positive integer factors of 4152 that divides 4152 without a remainder.
1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Factors of 6817
List of positive integer factors of 6817 that divides 6817 without a remainder.
1,17,401,6817
Greatest Common Factor
We found the factors 4152,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 4152,6817 is 1.
Lets's calculate LCM of 906,8782
2 | 906, 8782 |
453, 4391 |
∴ So the LCM of the given numbers is 2 x 453 x 4391 = 3978246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3978246
Therefore, the GCF of Fractions 4152/906,6817/8782 is 1/3978246
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 906,8782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,8782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(906,8782) x common factors =2 x 1 = 2
LCM(906,8782) = ( 906 × 8782 ) / 2
LCM(906,8782) = 7956492 / 2
LCM(906,8782) = 3978246
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 4152/906, 6817/8782?
Answer: GCF of Numerators as per given numbers 4152/906, 6817/8782 is
GCF of Numerators i.e. for 4152,6817 is 1
LCM of denominators i.e. for 906,8782 is 3978246.
Thus, GCF of Fractions is 1/3978246.Finally, GCF of Fractions for 4152/906, 6817/8782 is 1/3978246.