Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 801/81,711/2416
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 801,711
Greatest Common Factor of Numerators i.e. GCF of 801,711 is 9 .
LCM of Denominators means LCM of 81,2416 as per the given fractions.
LCM of 81,2416 is 195696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 801,711
3 | 801, 711 |
3 | 267, 237 |
89, 79 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 801,711 . The biggest common factor number is the GCF number.
So the greatest common factor 801,711 is 9.
Lets's calculate LCM of 81,2416
Given numbers has no common factors except 1. So, there LCM is their product i.e 195696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/195696
Therefore, the GCF of Fractions 801/81,711/2416 is 9/195696
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 81,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,2416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,2416) x common factors =1 x 1 = 1
LCM(81,2416) = ( 81 × 2416 ) / 1
LCM(81,2416) = 195696 / 1
LCM(81,2416) = 195696
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 801/81, 711/2416?
Answer: GCF of Numerators as per given numbers 801/81, 711/2416 is
GCF of Numerators i.e. for 801,711 is 9
LCM of denominators i.e. for 81,2416 is 195696.
Thus, GCF of Fractions is 9/195696.Finally, GCF of Fractions for 801/81, 711/2416 is 9/195696.