Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4751/93,6411/662
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 4751,6411
Greatest Common Factor of Numerators i.e. GCF of 4751,6411 is 1 .
LCM of Denominators means LCM of 93,662 as per the given fractions.
LCM of 93,662 is 61566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4751,6411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4751
List of positive integer factors of 4751 that divides 4751 without a remainder.
1,4751
Factors of 6411
List of positive integer factors of 6411 that divides 6411 without a remainder.
1,3,2137,6411
Greatest Common Factor
We found the factors 4751,6411 . The biggest common factor number is the GCF number.
So the greatest common factor 4751,6411 is 1.
Lets's calculate LCM of 93,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 61566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61566
Therefore, the GCF of Fractions 4751/93,6411/662 is 1/61566
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 93,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,662) x common factors =1 x 1 = 1
LCM(93,662) = ( 93 × 662 ) / 1
LCM(93,662) = 61566 / 1
LCM(93,662) = 61566
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 4751/93, 6411/662?
Answer: GCF of Numerators as per given numbers 4751/93, 6411/662 is
GCF of Numerators i.e. for 4751,6411 is 1
LCM of denominators i.e. for 93,662 is 61566.
Thus, GCF of Fractions is 1/61566.Finally, GCF of Fractions for 4751/93, 6411/662 is 1/61566.