Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 959/987,4745/5437
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 959,4745
Greatest Common Factor of Numerators i.e. GCF of 959,4745 is 1 .
LCM of Denominators means LCM of 987,5437 as per the given fractions.
LCM of 987,5437 is 5366319 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 959,4745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 4745
List of positive integer factors of 4745 that divides 4745 without a remainder.
1,5,13,65,73,365,949,4745
Greatest Common Factor
We found the factors 959,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 959,4745 is 1.
Lets's calculate LCM of 987,5437
Given numbers has no common factors except 1. So, there LCM is their product i.e 5366319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5366319
Therefore, the GCF of Fractions 959/987,4745/5437 is 1/5366319
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 987,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,5437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,5437) x common factors =1 x 1 = 1
LCM(987,5437) = ( 987 × 5437 ) / 1
LCM(987,5437) = 5366319 / 1
LCM(987,5437) = 5366319
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 959/987, 4745/5437?
Answer: GCF of Numerators as per given numbers 959/987, 4745/5437 is
GCF of Numerators i.e. for 959,4745 is 1
LCM of denominators i.e. for 987,5437 is 5366319.
Thus, GCF of Fractions is 1/5366319.Finally, GCF of Fractions for 959/987, 4745/5437 is 1/5366319.