Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3079/938,5462/6773
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 3079,5462
Greatest Common Factor of Numerators i.e. GCF of 3079,5462 is 1 .
LCM of Denominators means LCM of 938,6773 as per the given fractions.
LCM of 938,6773 is 6353074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3079,5462
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3079
List of positive integer factors of 3079 that divides 3079 without a remainder.
1,3079
Factors of 5462
List of positive integer factors of 5462 that divides 5462 without a remainder.
1,2,2731,5462
Greatest Common Factor
We found the factors 3079,5462 . The biggest common factor number is the GCF number.
So the greatest common factor 3079,5462 is 1.
Lets's calculate LCM of 938,6773
Given numbers has no common factors except 1. So, there LCM is their product i.e 6353074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6353074
Therefore, the GCF of Fractions 3079/938,5462/6773 is 1/6353074
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 938,6773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,6773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,6773) x common factors =1 x 1 = 1
LCM(938,6773) = ( 938 × 6773 ) / 1
LCM(938,6773) = 6353074 / 1
LCM(938,6773) = 6353074
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 3079/938, 5462/6773?
Answer: GCF of Numerators as per given numbers 3079/938, 5462/6773 is
GCF of Numerators i.e. for 3079,5462 is 1
LCM of denominators i.e. for 938,6773 is 6353074.
Thus, GCF of Fractions is 1/6353074.Finally, GCF of Fractions for 3079/938, 5462/6773 is 1/6353074.