Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6691/660,4944/5670
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 6691,4944
Greatest Common Factor of Numerators i.e. GCF of 6691,4944 is 1 .
LCM of Denominators means LCM of 660,5670 as per the given fractions.
LCM of 660,5670 is 124740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6691,4944
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6691
List of positive integer factors of 6691 that divides 6691 without a remainder.
1,6691
Factors of 4944
List of positive integer factors of 4944 that divides 4944 without a remainder.
1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Greatest Common Factor
We found the factors 6691,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 6691,4944 is 1.
Lets's calculate LCM of 660,5670
2 | 660, 5670 |
3 | 330, 2835 |
5 | 110, 945 |
22, 189 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 22 x 189 = 124740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124740
Therefore, the GCF of Fractions 6691/660,4944/5670 is 1/124740
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 660,5670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,5670) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(660,5670) x common factors =30 x 1 = 30
LCM(660,5670) = ( 660 × 5670 ) / 30
LCM(660,5670) = 3742200 / 30
LCM(660,5670) = 124740
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 6691/660, 4944/5670?
Answer: GCF of Numerators as per given numbers 6691/660, 4944/5670 is
GCF of Numerators i.e. for 6691,4944 is 1
LCM of denominators i.e. for 660,5670 is 124740.
Thus, GCF of Fractions is 1/124740.Finally, GCF of Fractions for 6691/660, 4944/5670 is 1/124740.