Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/515,644/875
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 86,644
Greatest Common Factor of Numerators i.e. GCF of 86,644 is 2 .
LCM of Denominators means LCM of 515,875 as per the given fractions.
LCM of 515,875 is 90125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,644
2 | 86, 644 |
43, 322 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 86,644 . The biggest common factor number is the GCF number.
So the greatest common factor 86,644 is 2.
Lets's calculate LCM of 515,875
5 | 515, 875 |
103, 175 |
∴ So the LCM of the given numbers is 5 x 103 x 175 = 90125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90125
Therefore, the GCF of Fractions 86/515,644/875 is 2/90125
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 515,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,875) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,875) x common factors =5 x 1 = 5
LCM(515,875) = ( 515 × 875 ) / 5
LCM(515,875) = 450625 / 5
LCM(515,875) = 90125
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 86/515, 644/875?
Answer: GCF of Numerators as per given numbers 86/515, 644/875 is
GCF of Numerators i.e. for 86,644 is 2
LCM of denominators i.e. for 515,875 is 90125.
Thus, GCF of Fractions is 2/90125.Finally, GCF of Fractions for 86/515, 644/875 is 2/90125.