Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5716/768,1335/906
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 5716,1335
Greatest Common Factor of Numerators i.e. GCF of 5716,1335 is 1 .
LCM of Denominators means LCM of 768,906 as per the given fractions.
LCM of 768,906 is 115968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5716,1335
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
Factors of 1335
List of positive integer factors of 1335 that divides 1335 without a remainder.
1,3,5,15,89,267,445,1335
Greatest Common Factor
We found the factors 5716,1335 . The biggest common factor number is the GCF number.
So the greatest common factor 5716,1335 is 1.
Lets's calculate LCM of 768,906
2 | 768, 906 |
3 | 384, 453 |
128, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 151 = 115968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115968
Therefore, the GCF of Fractions 5716/768,1335/906 is 1/115968
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 768,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,906) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,906) x common factors =6 x 1 = 6
LCM(768,906) = ( 768 × 906 ) / 6
LCM(768,906) = 695808 / 6
LCM(768,906) = 115968
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 5716/768, 1335/906?
Answer: GCF of Numerators as per given numbers 5716/768, 1335/906 is
GCF of Numerators i.e. for 5716,1335 is 1
LCM of denominators i.e. for 768,906 is 115968.
Thus, GCF of Fractions is 1/115968.Finally, GCF of Fractions for 5716/768, 1335/906 is 1/115968.