Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/39,74/43,29/134,968/904
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 8,74,29,968
Greatest Common Factor of Numerators i.e. GCF of 8,74,29,968 is 1 .
LCM of Denominators means LCM of 39,43,134,904 as per the given fractions.
LCM of 39,43,134,904 is 101572536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,74,29,968
∴ 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 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 8,74,29,968 . The biggest common factor number is the GCF number.
So the greatest common factor 8,74,29,968 is 1.
Lets's calculate LCM of 39,43,134,904
2 | 39, 43, 134, 904 |
39, 43, 67, 452 |
∴ So the LCM of the given numbers is 2 x 39 x 43 x 67 x 452 = 101572536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101572536
Therefore, the GCF of Fractions 8/39,74/43,29/134,968/904 is 1/101572536
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 39,43,134,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,43,134,904) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(39,43,134,904) x common factors =1 x 2 = 2
LCM(39,43,134,904) = ( 39 × 43 × 134 × 904 ) / 2
LCM(39,43,134,904) = 203145072 / 2
LCM(39,43,134,904) = 101572536
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 8/39, 74/43, 29/134, 968/904?
Answer: GCF of Numerators as per given numbers 8/39, 74/43, 29/134, 968/904 is
GCF of Numerators i.e. for 8,74,29,968 is 1
LCM of denominators i.e. for 39,43,134,904 is 101572536.
Thus, GCF of Fractions is 1/101572536.Finally, GCF of Fractions for 8/39, 74/43, 29/134, 968/904 is 1/101572536.