Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 517/9224,143/6171
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 517,143
Greatest Common Factor of Numerators i.e. GCF of 517,143 is 11 .
LCM of Denominators means LCM of 9224,6171 as per the given fractions.
LCM of 9224,6171 is 56921304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 517,143
11 | 517, 143 |
47, 13 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 517,143 . The biggest common factor number is the GCF number.
So the greatest common factor 517,143 is 11.
Lets's calculate LCM of 9224,6171
Given numbers has no common factors except 1. So, there LCM is their product i.e 56921304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/56921304
Therefore, the GCF of Fractions 517/9224,143/6171 is 11/56921304
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 9224,6171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9224,6171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9224,6171) x common factors =1 x 1 = 1
LCM(9224,6171) = ( 9224 × 6171 ) / 1
LCM(9224,6171) = 56921304 / 1
LCM(9224,6171) = 56921304
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 517/9224, 143/6171?
Answer: GCF of Numerators as per given numbers 517/9224, 143/6171 is
GCF of Numerators i.e. for 517,143 is 11
LCM of denominators i.e. for 9224,6171 is 56921304.
Thus, GCF of Fractions is 11/56921304.Finally, GCF of Fractions for 517/9224, 143/6171 is 11/56921304.