Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8261/493,9591/5230
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 8261,9591
Greatest Common Factor of Numerators i.e. GCF of 8261,9591 is 1 .
LCM of Denominators means LCM of 493,5230 as per the given fractions.
LCM of 493,5230 is 2578390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8261,9591
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8261
List of positive integer factors of 8261 that divides 8261 without a remainder.
1,11,751,8261
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1,3,23,69,139,417,3197,9591
Greatest Common Factor
We found the factors 8261,9591 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,9591 is 1.
Lets's calculate LCM of 493,5230
Given numbers has no common factors except 1. So, there LCM is their product i.e 2578390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2578390
Therefore, the GCF of Fractions 8261/493,9591/5230 is 1/2578390
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 493,5230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,5230) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,5230) x common factors =1 x 1 = 1
LCM(493,5230) = ( 493 × 5230 ) / 1
LCM(493,5230) = 2578390 / 1
LCM(493,5230) = 2578390
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 8261/493, 9591/5230?
Answer: GCF of Numerators as per given numbers 8261/493, 9591/5230 is
GCF of Numerators i.e. for 8261,9591 is 1
LCM of denominators i.e. for 493,5230 is 2578390.
Thus, GCF of Fractions is 1/2578390.Finally, GCF of Fractions for 8261/493, 9591/5230 is 1/2578390.