Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8966/306,1263/271
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 8966,1263
Greatest Common Factor of Numerators i.e. GCF of 8966,1263 is 1 .
LCM of Denominators means LCM of 306,271 as per the given fractions.
LCM of 306,271 is 82926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8966,1263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8966
List of positive integer factors of 8966 that divides 8966 without a remainder.
1,2,4483,8966
Factors of 1263
List of positive integer factors of 1263 that divides 1263 without a remainder.
1,3,421,1263
Greatest Common Factor
We found the factors 8966,1263 . The biggest common factor number is the GCF number.
So the greatest common factor 8966,1263 is 1.
Lets's calculate LCM of 306,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 82926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82926
Therefore, the GCF of Fractions 8966/306,1263/271 is 1/82926
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 306,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,271) x common factors =1 x 1 = 1
LCM(306,271) = ( 306 × 271 ) / 1
LCM(306,271) = 82926 / 1
LCM(306,271) = 82926
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 8966/306, 1263/271?
Answer: GCF of Numerators as per given numbers 8966/306, 1263/271 is
GCF of Numerators i.e. for 8966,1263 is 1
LCM of denominators i.e. for 306,271 is 82926.
Thus, GCF of Fractions is 1/82926.Finally, GCF of Fractions for 8966/306, 1263/271 is 1/82926.