Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/68,5/36,75/43,23/307
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 8,5,75,23
Greatest Common Factor of Numerators i.e. GCF of 8,5,75,23 is 1 .
LCM of Denominators means LCM of 68,36,43,307 as per the given fractions.
LCM of 68,36,43,307 is 8079012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,5,75,23
∴ 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 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Greatest Common Factor
We found the factors 8,5,75,23 . The biggest common factor number is the GCF number.
So the greatest common factor 8,5,75,23 is 1.
Lets's calculate LCM of 68,36,43,307
2 | 68, 36, 43, 307 |
2 | 34, 18, 43, 307 |
17, 9, 43, 307 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 9 x 43 x 307 = 8079012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8079012
Therefore, the GCF of Fractions 8/68,5/36,75/43,23/307 is 1/8079012
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 68,36,43,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,36,43,307) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,36,43,307) x common factors =1 x 4 = 4
LCM(68,36,43,307) = ( 68 × 36 × 43 × 307 ) / 4
LCM(68,36,43,307) = 32316048 / 4
LCM(68,36,43,307) = 8079012
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 8/68, 5/36, 75/43, 23/307?
Answer: GCF of Numerators as per given numbers 8/68, 5/36, 75/43, 23/307 is
GCF of Numerators i.e. for 8,5,75,23 is 1
LCM of denominators i.e. for 68,36,43,307 is 8079012.
Thus, GCF of Fractions is 1/8079012.Finally, GCF of Fractions for 8/68, 5/36, 75/43, 23/307 is 1/8079012.