Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/901,5805/634
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 718,5805
Greatest Common Factor of Numerators i.e. GCF of 718,5805 is 1 .
LCM of Denominators means LCM of 901,634 as per the given fractions.
LCM of 901,634 is 571234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,5805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 5805
List of positive integer factors of 5805 that divides 5805 without a remainder.
1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 718,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 718,5805 is 1.
Lets's calculate LCM of 901,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 571234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571234
Therefore, the GCF of Fractions 718/901,5805/634 is 1/571234
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 901,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,634) x common factors =1 x 1 = 1
LCM(901,634) = ( 901 × 634 ) / 1
LCM(901,634) = 571234 / 1
LCM(901,634) = 571234
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 718/901, 5805/634?
Answer: GCF of Numerators as per given numbers 718/901, 5805/634 is
GCF of Numerators i.e. for 718,5805 is 1
LCM of denominators i.e. for 901,634 is 571234.
Thus, GCF of Fractions is 1/571234.Finally, GCF of Fractions for 718/901, 5805/634 is 1/571234.