Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/19,40/91,87/52,894/52
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 94,40,87,894
Greatest Common Factor of Numerators i.e. GCF of 94,40,87,894 is 1 .
LCM of Denominators means LCM of 19,91,52,52 as per the given fractions.
LCM of 19,91,52,52 is 6916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,40,87,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 94,40,87,894 . The biggest common factor number is the GCF number.
So the greatest common factor 94,40,87,894 is 1.
Lets's calculate LCM of 19,91,52,52
2 | 19, 91, 52, 52 |
2 | 19, 91, 26, 26 |
13 | 19, 91, 13, 13 |
19, 7, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 7 x 1 x 1 = 6916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6916
Therefore, the GCF of Fractions 94/19,40/91,87/52,894/52 is 1/6916
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 19,91,52,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,91,52,52) = 1
common factors(in case of two or more numbers have common factors) = 676
GCF(19,91,52,52) x common factors =1 x 676 = 676
LCM(19,91,52,52) = ( 19 × 91 × 52 × 52 ) / 676
LCM(19,91,52,52) = 4675216 / 676
LCM(19,91,52,52) = 6916
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 94/19, 40/91, 87/52, 894/52?
Answer: GCF of Numerators as per given numbers 94/19, 40/91, 87/52, 894/52 is
GCF of Numerators i.e. for 94,40,87,894 is 1
LCM of denominators i.e. for 19,91,52,52 is 6916.
Thus, GCF of Fractions is 1/6916.Finally, GCF of Fractions for 94/19, 40/91, 87/52, 894/52 is 1/6916.