Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4646/512,8731/271
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 4646,8731
Greatest Common Factor of Numerators i.e. GCF of 4646,8731 is 1 .
LCM of Denominators means LCM of 512,271 as per the given fractions.
LCM of 512,271 is 138752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4646,8731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4646
List of positive integer factors of 4646 that divides 4646 without a remainder.
1,2,23,46,101,202,2323,4646
Factors of 8731
List of positive integer factors of 8731 that divides 8731 without a remainder.
1,8731
Greatest Common Factor
We found the factors 4646,8731 . The biggest common factor number is the GCF number.
So the greatest common factor 4646,8731 is 1.
Lets's calculate LCM of 512,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 138752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138752
Therefore, the GCF of Fractions 4646/512,8731/271 is 1/138752
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 512,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,271) x common factors =1 x 1 = 1
LCM(512,271) = ( 512 × 271 ) / 1
LCM(512,271) = 138752 / 1
LCM(512,271) = 138752
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 4646/512, 8731/271?
Answer: GCF of Numerators as per given numbers 4646/512, 8731/271 is
GCF of Numerators i.e. for 4646,8731 is 1
LCM of denominators i.e. for 512,271 is 138752.
Thus, GCF of Fractions is 1/138752.Finally, GCF of Fractions for 4646/512, 8731/271 is 1/138752.