Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9561/265,8115/3185
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 9561,8115
Greatest Common Factor of Numerators i.e. GCF of 9561,8115 is 3 .
LCM of Denominators means LCM of 265,3185 as per the given fractions.
LCM of 265,3185 is 168805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9561,8115
3 | 9561, 8115 |
3187, 2705 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9561
List of positive integer factors of 9561 that divides 9561 without a remainder.
1,3,3187,9561
Factors of 8115
List of positive integer factors of 8115 that divides 8115 without a remainder.
1,3,5,15,541,1623,2705,8115
Greatest Common Factor
We found the factors 9561,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 9561,8115 is 3.
Lets's calculate LCM of 265,3185
5 | 265, 3185 |
53, 637 |
∴ So the LCM of the given numbers is 5 x 53 x 637 = 168805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/168805
Therefore, the GCF of Fractions 9561/265,8115/3185 is 3/168805
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 265,3185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,3185) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,3185) x common factors =5 x 1 = 5
LCM(265,3185) = ( 265 × 3185 ) / 5
LCM(265,3185) = 844025 / 5
LCM(265,3185) = 168805
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 9561/265, 8115/3185?
Answer: GCF of Numerators as per given numbers 9561/265, 8115/3185 is
GCF of Numerators i.e. for 9561,8115 is 3
LCM of denominators i.e. for 265,3185 is 168805.
Thus, GCF of Fractions is 3/168805.Finally, GCF of Fractions for 9561/265, 8115/3185 is 3/168805.