Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3227/773,8531/3113
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 3227,8531
Greatest Common Factor of Numerators i.e. GCF of 3227,8531 is 1 .
LCM of Denominators means LCM of 773,3113 as per the given fractions.
LCM of 773,3113 is 2406349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3227,8531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3227
List of positive integer factors of 3227 that divides 3227 without a remainder.
1,7,461,3227
Factors of 8531
List of positive integer factors of 8531 that divides 8531 without a remainder.
1,19,449,8531
Greatest Common Factor
We found the factors 3227,8531 . The biggest common factor number is the GCF number.
So the greatest common factor 3227,8531 is 1.
Lets's calculate LCM of 773,3113
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2406349
Therefore, the GCF of Fractions 3227/773,8531/3113 is 1/2406349
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 773,3113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,3113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,3113) x common factors =1 x 1 = 1
LCM(773,3113) = ( 773 × 3113 ) / 1
LCM(773,3113) = 2406349 / 1
LCM(773,3113) = 2406349
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 3227/773, 8531/3113?
Answer: GCF of Numerators as per given numbers 3227/773, 8531/3113 is
GCF of Numerators i.e. for 3227,8531 is 1
LCM of denominators i.e. for 773,3113 is 2406349.
Thus, GCF of Fractions is 1/2406349.Finally, GCF of Fractions for 3227/773, 8531/3113 is 1/2406349.