Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5187/88,4597/426
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 5187,4597
Greatest Common Factor of Numerators i.e. GCF of 5187,4597 is 1 .
LCM of Denominators means LCM of 88,426 as per the given fractions.
LCM of 88,426 is 18744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5187,4597
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5187
List of positive integer factors of 5187 that divides 5187 without a remainder.
1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187
Factors of 4597
List of positive integer factors of 4597 that divides 4597 without a remainder.
1,4597
Greatest Common Factor
We found the factors 5187,4597 . The biggest common factor number is the GCF number.
So the greatest common factor 5187,4597 is 1.
Lets's calculate LCM of 88,426
2 | 88, 426 |
44, 213 |
∴ So the LCM of the given numbers is 2 x 44 x 213 = 18744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18744
Therefore, the GCF of Fractions 5187/88,4597/426 is 1/18744
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 88,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(88,426) x common factors =2 x 1 = 2
LCM(88,426) = ( 88 × 426 ) / 2
LCM(88,426) = 37488 / 2
LCM(88,426) = 18744
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 5187/88, 4597/426?
Answer: GCF of Numerators as per given numbers 5187/88, 4597/426 is
GCF of Numerators i.e. for 5187,4597 is 1
LCM of denominators i.e. for 88,426 is 18744.
Thus, GCF of Fractions is 1/18744.Finally, GCF of Fractions for 5187/88, 4597/426 is 1/18744.