Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/622,3391/6708
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 548,3391
Greatest Common Factor of Numerators i.e. GCF of 548,3391 is 1 .
LCM of Denominators means LCM of 622,6708 as per the given fractions.
LCM of 622,6708 is 2086188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,3391
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 3391
List of positive integer factors of 3391 that divides 3391 without a remainder.
1,3391
Greatest Common Factor
We found the factors 548,3391 . The biggest common factor number is the GCF number.
So the greatest common factor 548,3391 is 1.
Lets's calculate LCM of 622,6708
2 | 622, 6708 |
311, 3354 |
∴ So the LCM of the given numbers is 2 x 311 x 3354 = 2086188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2086188
Therefore, the GCF of Fractions 548/622,3391/6708 is 1/2086188
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 622,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,6708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,6708) x common factors =2 x 1 = 2
LCM(622,6708) = ( 622 × 6708 ) / 2
LCM(622,6708) = 4172376 / 2
LCM(622,6708) = 2086188
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 548/622, 3391/6708?
Answer: GCF of Numerators as per given numbers 548/622, 3391/6708 is
GCF of Numerators i.e. for 548,3391 is 1
LCM of denominators i.e. for 622,6708 is 2086188.
Thus, GCF of Fractions is 1/2086188.Finally, GCF of Fractions for 548/622, 3391/6708 is 1/2086188.