Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7055/90,9533/271
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 7055,9533
Greatest Common Factor of Numerators i.e. GCF of 7055,9533 is 1 .
LCM of Denominators means LCM of 90,271 as per the given fractions.
LCM of 90,271 is 24390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7055,9533
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7055
List of positive integer factors of 7055 that divides 7055 without a remainder.
1,5,17,83,85,415,1411,7055
Factors of 9533
List of positive integer factors of 9533 that divides 9533 without a remainder.
1,9533
Greatest Common Factor
We found the factors 7055,9533 . The biggest common factor number is the GCF number.
So the greatest common factor 7055,9533 is 1.
Lets's calculate LCM of 90,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 24390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24390
Therefore, the GCF of Fractions 7055/90,9533/271 is 1/24390
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 90,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,271) x common factors =1 x 1 = 1
LCM(90,271) = ( 90 × 271 ) / 1
LCM(90,271) = 24390 / 1
LCM(90,271) = 24390
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 7055/90, 9533/271?
Answer: GCF of Numerators as per given numbers 7055/90, 9533/271 is
GCF of Numerators i.e. for 7055,9533 is 1
LCM of denominators i.e. for 90,271 is 24390.
Thus, GCF of Fractions is 1/24390.Finally, GCF of Fractions for 7055/90, 9533/271 is 1/24390.