Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4968/522,1268/3715
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 4968,1268
Greatest Common Factor of Numerators i.e. GCF of 4968,1268 is 4 .
LCM of Denominators means LCM of 522,3715 as per the given fractions.
LCM of 522,3715 is 1939230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4968,1268
2 | 4968, 1268 |
2 | 2484, 634 |
1242, 317 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4968
List of positive integer factors of 4968 that divides 4968 without a remainder.
1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Factors of 1268
List of positive integer factors of 1268 that divides 1268 without a remainder.
1,2,4,317,634,1268
Greatest Common Factor
We found the factors 4968,1268 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,1268 is 4.
Lets's calculate LCM of 522,3715
Given numbers has no common factors except 1. So, there LCM is their product i.e 1939230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1939230
Therefore, the GCF of Fractions 4968/522,1268/3715 is 4/1939230
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 522,3715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,3715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,3715) x common factors =1 x 1 = 1
LCM(522,3715) = ( 522 × 3715 ) / 1
LCM(522,3715) = 1939230 / 1
LCM(522,3715) = 1939230
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 4968/522, 1268/3715?
Answer: GCF of Numerators as per given numbers 4968/522, 1268/3715 is
GCF of Numerators i.e. for 4968,1268 is 4
LCM of denominators i.e. for 522,3715 is 1939230.
Thus, GCF of Fractions is 4/1939230.Finally, GCF of Fractions for 4968/522, 1268/3715 is 4/1939230.