Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9091/396,9602/277
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 9091,9602
Greatest Common Factor of Numerators i.e. GCF of 9091,9602 is 1 .
LCM of Denominators means LCM of 396,277 as per the given fractions.
LCM of 396,277 is 109692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9091,9602
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9091
List of positive integer factors of 9091 that divides 9091 without a remainder.
1,9091
Factors of 9602
List of positive integer factors of 9602 that divides 9602 without a remainder.
1,2,4801,9602
Greatest Common Factor
We found the factors 9091,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 9091,9602 is 1.
Lets's calculate LCM of 396,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 109692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109692
Therefore, the GCF of Fractions 9091/396,9602/277 is 1/109692
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 396,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,277) x common factors =1 x 1 = 1
LCM(396,277) = ( 396 × 277 ) / 1
LCM(396,277) = 109692 / 1
LCM(396,277) = 109692
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 9091/396, 9602/277?
Answer: GCF of Numerators as per given numbers 9091/396, 9602/277 is
GCF of Numerators i.e. for 9091,9602 is 1
LCM of denominators i.e. for 396,277 is 109692.
Thus, GCF of Fractions is 1/109692.Finally, GCF of Fractions for 9091/396, 9602/277 is 1/109692.