Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9527/461,9535/2734
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 9527,9535
Greatest Common Factor of Numerators i.e. GCF of 9527,9535 is 1 .
LCM of Denominators means LCM of 461,2734 as per the given fractions.
LCM of 461,2734 is 1260374 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9527,9535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9527
List of positive integer factors of 9527 that divides 9527 without a remainder.
1,7,1361,9527
Factors of 9535
List of positive integer factors of 9535 that divides 9535 without a remainder.
1,5,1907,9535
Greatest Common Factor
We found the factors 9527,9535 . The biggest common factor number is the GCF number.
So the greatest common factor 9527,9535 is 1.
Lets's calculate LCM of 461,2734
Given numbers has no common factors except 1. So, there LCM is their product i.e 1260374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260374
Therefore, the GCF of Fractions 9527/461,9535/2734 is 1/1260374
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 461,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,2734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,2734) x common factors =1 x 1 = 1
LCM(461,2734) = ( 461 × 2734 ) / 1
LCM(461,2734) = 1260374 / 1
LCM(461,2734) = 1260374
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 9527/461, 9535/2734?
Answer: GCF of Numerators as per given numbers 9527/461, 9535/2734 is
GCF of Numerators i.e. for 9527,9535 is 1
LCM of denominators i.e. for 461,2734 is 1260374.
Thus, GCF of Fractions is 1/1260374.Finally, GCF of Fractions for 9527/461, 9535/2734 is 1/1260374.