Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8316/873,9525/801
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 8316,9525
Greatest Common Factor of Numerators i.e. GCF of 8316,9525 is 3 .
LCM of Denominators means LCM of 873,801 as per the given fractions.
LCM of 873,801 is 77697 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8316,9525
3 | 8316, 9525 |
2772, 3175 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8316
List of positive integer factors of 8316 that divides 8316 without a remainder.
1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316
Factors of 9525
List of positive integer factors of 9525 that divides 9525 without a remainder.
1,3,5,15,25,75,127,381,635,1905,3175,9525
Greatest Common Factor
We found the factors 8316,9525 . The biggest common factor number is the GCF number.
So the greatest common factor 8316,9525 is 3.
Lets's calculate LCM of 873,801
3 | 873, 801 |
3 | 291, 267 |
97, 89 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 89 = 77697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77697
Therefore, the GCF of Fractions 8316/873,9525/801 is 3/77697
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 873,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,801) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,801) x common factors =9 x 1 = 9
LCM(873,801) = ( 873 × 801 ) / 9
LCM(873,801) = 699273 / 9
LCM(873,801) = 77697
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 8316/873, 9525/801?
Answer: GCF of Numerators as per given numbers 8316/873, 9525/801 is
GCF of Numerators i.e. for 8316,9525 is 3
LCM of denominators i.e. for 873,801 is 77697.
Thus, GCF of Fractions is 3/77697.Finally, GCF of Fractions for 8316/873, 9525/801 is 3/77697.