Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 801/660,8010/517
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 801,8010
Greatest Common Factor of Numerators i.e. GCF of 801,8010 is 801 .
LCM of Denominators means LCM of 660,517 as per the given fractions.
LCM of 660,517 is 31020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 801,8010
3 | 801, 8010 |
3 | 267, 2670 |
89 | 89, 890 |
1, 10 |
∴ So the GCF of the given numbers is 3 x 3 x 89 = 801
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 8010
List of positive integer factors of 8010 that divides 8010 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010
Greatest Common Factor
We found the factors 801,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 801,8010 is 801.
Lets's calculate LCM of 660,517
11 | 660, 517 |
60, 47 |
∴ So the LCM of the given numbers is 11 x 60 x 47 = 31020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 801/31020
Therefore, the GCF of Fractions 801/660,8010/517 is 801/31020
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 660,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,517) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(660,517) x common factors =11 x 1 = 11
LCM(660,517) = ( 660 × 517 ) / 11
LCM(660,517) = 341220 / 11
LCM(660,517) = 31020
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 801/660, 8010/517?
Answer: GCF of Numerators as per given numbers 801/660, 8010/517 is
GCF of Numerators i.e. for 801,8010 is 801
LCM of denominators i.e. for 660,517 is 31020.
Thus, GCF of Fractions is 801/31020.Finally, GCF of Fractions for 801/660, 8010/517 is 801/31020.