Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9975/561,9785/517
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 9975,9785
Greatest Common Factor of Numerators i.e. GCF of 9975,9785 is 95 .
LCM of Denominators means LCM of 561,517 as per the given fractions.
LCM of 561,517 is 26367 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9975,9785
5 | 9975, 9785 |
19 | 1995, 1957 |
105, 103 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Factors of 9975
List of positive integer factors of 9975 that divides 9975 without a remainder.
1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975
Factors of 9785
List of positive integer factors of 9785 that divides 9785 without a remainder.
1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 9975,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 9975,9785 is 95.
Lets's calculate LCM of 561,517
11 | 561, 517 |
51, 47 |
∴ So the LCM of the given numbers is 11 x 51 x 47 = 26367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/26367
Therefore, the GCF of Fractions 9975/561,9785/517 is 95/26367
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 561,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,517) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(561,517) x common factors =11 x 1 = 11
LCM(561,517) = ( 561 × 517 ) / 11
LCM(561,517) = 290037 / 11
LCM(561,517) = 26367
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 9975/561, 9785/517?
Answer: GCF of Numerators as per given numbers 9975/561, 9785/517 is
GCF of Numerators i.e. for 9975,9785 is 95
LCM of denominators i.e. for 561,517 is 26367.
Thus, GCF of Fractions is 95/26367.Finally, GCF of Fractions for 9975/561, 9785/517 is 95/26367.