Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2951/605,6271/8732
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 2951,6271
Greatest Common Factor of Numerators i.e. GCF of 2951,6271 is 1 .
LCM of Denominators means LCM of 605,8732 as per the given fractions.
LCM of 605,8732 is 5282860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2951,6271
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2951
List of positive integer factors of 2951 that divides 2951 without a remainder.
1,13,227,2951
Factors of 6271
List of positive integer factors of 6271 that divides 6271 without a remainder.
1,6271
Greatest Common Factor
We found the factors 2951,6271 . The biggest common factor number is the GCF number.
So the greatest common factor 2951,6271 is 1.
Lets's calculate LCM of 605,8732
Given numbers has no common factors except 1. So, there LCM is their product i.e 5282860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5282860
Therefore, the GCF of Fractions 2951/605,6271/8732 is 1/5282860
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 605,8732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,8732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,8732) x common factors =1 x 1 = 1
LCM(605,8732) = ( 605 × 8732 ) / 1
LCM(605,8732) = 5282860 / 1
LCM(605,8732) = 5282860
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 2951/605, 6271/8732?
Answer: GCF of Numerators as per given numbers 2951/605, 6271/8732 is
GCF of Numerators i.e. for 2951,6271 is 1
LCM of denominators i.e. for 605,8732 is 5282860.
Thus, GCF of Fractions is 1/5282860.Finally, GCF of Fractions for 2951/605, 6271/8732 is 1/5282860.