Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/17,95/46,24/149,999/736
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 8,95,24,999
Greatest Common Factor of Numerators i.e. GCF of 8,95,24,999 is 1 .
LCM of Denominators means LCM of 17,46,149,736 as per the given fractions.
LCM of 17,46,149,736 is 1864288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,95,24,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
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 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 8,95,24,999 . The biggest common factor number is the GCF number.
So the greatest common factor 8,95,24,999 is 1.
Lets's calculate LCM of 17,46,149,736
2 | 17, 46, 149, 736 |
23 | 17, 23, 149, 368 |
17, 1, 149, 16 |
∴ So the LCM of the given numbers is 2 x 23 x 17 x 1 x 149 x 16 = 1864288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1864288
Therefore, the GCF of Fractions 8/17,95/46,24/149,999/736 is 1/1864288
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 17,46,149,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,46,149,736) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(17,46,149,736) x common factors =1 x 46 = 46
LCM(17,46,149,736) = ( 17 × 46 × 149 × 736 ) / 46
LCM(17,46,149,736) = 85757248 / 46
LCM(17,46,149,736) = 1864288
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 8/17, 95/46, 24/149, 999/736?
Answer: GCF of Numerators as per given numbers 8/17, 95/46, 24/149, 999/736 is
GCF of Numerators i.e. for 8,95,24,999 is 1
LCM of denominators i.e. for 17,46,149,736 is 1864288.
Thus, GCF of Fractions is 1/1864288.Finally, GCF of Fractions for 8/17, 95/46, 24/149, 999/736 is 1/1864288.