Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/77,719/2951
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 368,719
Greatest Common Factor of Numerators i.e. GCF of 368,719 is 1 .
LCM of Denominators means LCM of 77,2951 as per the given fractions.
LCM of 77,2951 is 227227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 368,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 368,719 . The biggest common factor number is the GCF number.
So the greatest common factor 368,719 is 1.
Lets's calculate LCM of 77,2951
Given numbers has no common factors except 1. So, there LCM is their product i.e 227227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227227
Therefore, the GCF of Fractions 368/77,719/2951 is 1/227227
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 77,2951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,2951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,2951) x common factors =1 x 1 = 1
LCM(77,2951) = ( 77 × 2951 ) / 1
LCM(77,2951) = 227227 / 1
LCM(77,2951) = 227227
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 368/77, 719/2951?
Answer: GCF of Numerators as per given numbers 368/77, 719/2951 is
GCF of Numerators i.e. for 368,719 is 1
LCM of denominators i.e. for 77,2951 is 227227.
Thus, GCF of Fractions is 1/227227.Finally, GCF of Fractions for 368/77, 719/2951 is 1/227227.