Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/39,34/12,82/43,474/49
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 56,34,82,474
Greatest Common Factor of Numerators i.e. GCF of 56,34,82,474 is 2 .
LCM of Denominators means LCM of 39,12,43,49 as per the given fractions.
LCM of 39,12,43,49 is 328692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,34,82,474
2 | 56, 34, 82, 474 |
28, 17, 41, 237 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 56,34,82,474 . The biggest common factor number is the GCF number.
So the greatest common factor 56,34,82,474 is 2.
Lets's calculate LCM of 39,12,43,49
3 | 39, 12, 43, 49 |
13, 4, 43, 49 |
∴ So the LCM of the given numbers is 3 x 13 x 4 x 43 x 49 = 328692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328692
Therefore, the GCF of Fractions 56/39,34/12,82/43,474/49 is 2/328692
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 39,12,43,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,12,43,49) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,12,43,49) x common factors =1 x 3 = 3
LCM(39,12,43,49) = ( 39 × 12 × 43 × 49 ) / 3
LCM(39,12,43,49) = 986076 / 3
LCM(39,12,43,49) = 328692
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 56/39, 34/12, 82/43, 474/49?
Answer: GCF of Numerators as per given numbers 56/39, 34/12, 82/43, 474/49 is
GCF of Numerators i.e. for 56,34,82,474 is 2
LCM of denominators i.e. for 39,12,43,49 is 328692.
Thus, GCF of Fractions is 2/328692.Finally, GCF of Fractions for 56/39, 34/12, 82/43, 474/49 is 2/328692.