Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/17,96/85,522/999
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 24,96,522
Greatest Common Factor of Numerators i.e. GCF of 24,96,522 is 6 .
LCM of Denominators means LCM of 17,85,999 as per the given fractions.
LCM of 17,85,999 is 84915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,96,522
2 | 24, 96, 522 |
3 | 12, 48, 261 |
4, 16, 87 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 24,96,522 . The biggest common factor number is the GCF number.
So the greatest common factor 24,96,522 is 6.
Lets's calculate LCM of 17,85,999
17 | 17, 85, 999 |
1, 5, 999 |
∴ So the LCM of the given numbers is 17 x 1 x 5 x 999 = 84915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/84915
Therefore, the GCF of Fractions 24/17,96/85,522/999 is 6/84915
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 17,85,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,85,999) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(17,85,999) x common factors =1 x 17 = 17
LCM(17,85,999) = ( 17 × 85 × 999 ) / 17
LCM(17,85,999) = 1443555 / 17
LCM(17,85,999) = 84915
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 24/17, 96/85, 522/999?
Answer: GCF of Numerators as per given numbers 24/17, 96/85, 522/999 is
GCF of Numerators i.e. for 24,96,522 is 6
LCM of denominators i.e. for 17,85,999 is 84915.
Thus, GCF of Fractions is 6/84915.Finally, GCF of Fractions for 24/17, 96/85, 522/999 is 6/84915.