Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6634/588,9249/911
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 6634,9249
Greatest Common Factor of Numerators i.e. GCF of 6634,9249 is 1 .
LCM of Denominators means LCM of 588,911 as per the given fractions.
LCM of 588,911 is 535668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6634,9249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6634
List of positive integer factors of 6634 that divides 6634 without a remainder.
1,2,31,62,107,214,3317,6634
Factors of 9249
List of positive integer factors of 9249 that divides 9249 without a remainder.
1,3,3083,9249
Greatest Common Factor
We found the factors 6634,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 6634,9249 is 1.
Lets's calculate LCM of 588,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 535668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/535668
Therefore, the GCF of Fractions 6634/588,9249/911 is 1/535668
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 588,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,911) x common factors =1 x 1 = 1
LCM(588,911) = ( 588 × 911 ) / 1
LCM(588,911) = 535668 / 1
LCM(588,911) = 535668
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 6634/588, 9249/911?
Answer: GCF of Numerators as per given numbers 6634/588, 9249/911 is
GCF of Numerators i.e. for 6634,9249 is 1
LCM of denominators i.e. for 588,911 is 535668.
Thus, GCF of Fractions is 1/535668.Finally, GCF of Fractions for 6634/588, 9249/911 is 1/535668.