Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6767/220,5950/3999
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 6767,5950
Greatest Common Factor of Numerators i.e. GCF of 6767,5950 is 1 .
LCM of Denominators means LCM of 220,3999 as per the given fractions.
LCM of 220,3999 is 879780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6767,5950
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6767
List of positive integer factors of 6767 that divides 6767 without a remainder.
1,67,101,6767
Factors of 5950
List of positive integer factors of 5950 that divides 5950 without a remainder.
1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
Greatest Common Factor
We found the factors 6767,5950 . The biggest common factor number is the GCF number.
So the greatest common factor 6767,5950 is 1.
Lets's calculate LCM of 220,3999
Given numbers has no common factors except 1. So, there LCM is their product i.e 879780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/879780
Therefore, the GCF of Fractions 6767/220,5950/3999 is 1/879780
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 220,3999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,3999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,3999) x common factors =1 x 1 = 1
LCM(220,3999) = ( 220 × 3999 ) / 1
LCM(220,3999) = 879780 / 1
LCM(220,3999) = 879780
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 6767/220, 5950/3999?
Answer: GCF of Numerators as per given numbers 6767/220, 5950/3999 is
GCF of Numerators i.e. for 6767,5950 is 1
LCM of denominators i.e. for 220,3999 is 879780.
Thus, GCF of Fractions is 1/879780.Finally, GCF of Fractions for 6767/220, 5950/3999 is 1/879780.