Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9533/885,8346/275
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 9533,8346
Greatest Common Factor of Numerators i.e. GCF of 9533,8346 is 1 .
LCM of Denominators means LCM of 885,275 as per the given fractions.
LCM of 885,275 is 48675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9533,8346
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9533
List of positive integer factors of 9533 that divides 9533 without a remainder.
1,9533
Factors of 8346
List of positive integer factors of 8346 that divides 8346 without a remainder.
1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Greatest Common Factor
We found the factors 9533,8346 . The biggest common factor number is the GCF number.
So the greatest common factor 9533,8346 is 1.
Lets's calculate LCM of 885,275
5 | 885, 275 |
177, 55 |
∴ So the LCM of the given numbers is 5 x 177 x 55 = 48675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48675
Therefore, the GCF of Fractions 9533/885,8346/275 is 1/48675
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 885,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,275) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(885,275) x common factors =5 x 1 = 5
LCM(885,275) = ( 885 × 275 ) / 5
LCM(885,275) = 243375 / 5
LCM(885,275) = 48675
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 9533/885, 8346/275?
Answer: GCF of Numerators as per given numbers 9533/885, 8346/275 is
GCF of Numerators i.e. for 9533,8346 is 1
LCM of denominators i.e. for 885,275 is 48675.
Thus, GCF of Fractions is 1/48675.Finally, GCF of Fractions for 9533/885, 8346/275 is 1/48675.