Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 801/863,9009/534
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 801,9009
Greatest Common Factor of Numerators i.e. GCF of 801,9009 is 9 .
LCM of Denominators means LCM of 863,534 as per the given fractions.
LCM of 863,534 is 460842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 801,9009
3 | 801, 9009 |
3 | 267, 3003 |
89, 1001 |
∴ 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 9009
List of positive integer factors of 9009 that divides 9009 without a remainder.
1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Greatest Common Factor
We found the factors 801,9009 . The biggest common factor number is the GCF number.
So the greatest common factor 801,9009 is 9.
Lets's calculate LCM of 863,534
Given numbers has no common factors except 1. So, there LCM is their product i.e 460842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/460842
Therefore, the GCF of Fractions 801/863,9009/534 is 9/460842
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 863,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,534) x common factors =1 x 1 = 1
LCM(863,534) = ( 863 × 534 ) / 1
LCM(863,534) = 460842 / 1
LCM(863,534) = 460842
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 801/863, 9009/534?
Answer: GCF of Numerators as per given numbers 801/863, 9009/534 is
GCF of Numerators i.e. for 801,9009 is 9
LCM of denominators i.e. for 863,534 is 460842.
Thus, GCF of Fractions is 9/460842.Finally, GCF of Fractions for 801/863, 9009/534 is 9/460842.