Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/520,198/125,257/279
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 86,198,257
Greatest Common Factor of Numerators i.e. GCF of 86,198,257 is 1 .
LCM of Denominators means LCM of 520,125,279 as per the given fractions.
LCM of 520,125,279 is 3627000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,198,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 86,198,257 . The biggest common factor number is the GCF number.
So the greatest common factor 86,198,257 is 1.
Lets's calculate LCM of 520,125,279
5 | 520, 125, 279 |
104, 25, 279 |
∴ So the LCM of the given numbers is 5 x 104 x 25 x 279 = 3627000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3627000
Therefore, the GCF of Fractions 86/520,198/125,257/279 is 1/3627000
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 520,125,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,125,279) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(520,125,279) x common factors =1 x 5 = 5
LCM(520,125,279) = ( 520 × 125 × 279 ) / 5
LCM(520,125,279) = 18135000 / 5
LCM(520,125,279) = 3627000
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 86/520, 198/125, 257/279?
Answer: GCF of Numerators as per given numbers 86/520, 198/125, 257/279 is
GCF of Numerators i.e. for 86,198,257 is 1
LCM of denominators i.e. for 520,125,279 is 3627000.
Thus, GCF of Fractions is 1/3627000.Finally, GCF of Fractions for 86/520, 198/125, 257/279 is 1/3627000.