Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9435/271,9574/8986
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 9435,9574
Greatest Common Factor of Numerators i.e. GCF of 9435,9574 is 1 .
LCM of Denominators means LCM of 271,8986 as per the given fractions.
LCM of 271,8986 is 2435206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9435,9574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9435
List of positive integer factors of 9435 that divides 9435 without a remainder.
1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Factors of 9574
List of positive integer factors of 9574 that divides 9574 without a remainder.
1,2,4787,9574
Greatest Common Factor
We found the factors 9435,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 9435,9574 is 1.
Lets's calculate LCM of 271,8986
Given numbers has no common factors except 1. So, there LCM is their product i.e 2435206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2435206
Therefore, the GCF of Fractions 9435/271,9574/8986 is 1/2435206
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 271,8986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,8986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,8986) x common factors =1 x 1 = 1
LCM(271,8986) = ( 271 × 8986 ) / 1
LCM(271,8986) = 2435206 / 1
LCM(271,8986) = 2435206
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 9435/271, 9574/8986?
Answer: GCF of Numerators as per given numbers 9435/271, 9574/8986 is
GCF of Numerators i.e. for 9435,9574 is 1
LCM of denominators i.e. for 271,8986 is 2435206.
Thus, GCF of Fractions is 1/2435206.Finally, GCF of Fractions for 9435/271, 9574/8986 is 1/2435206.