Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/82,10/13,68/78,47/949
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 32,10,68,47
Greatest Common Factor of Numerators i.e. GCF of 32,10,68,47 is 1 .
LCM of Denominators means LCM of 82,13,78,949 as per the given fractions.
LCM of 82,13,78,949 is 233454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,10,68,47
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Greatest Common Factor
We found the factors 32,10,68,47 . The biggest common factor number is the GCF number.
So the greatest common factor 32,10,68,47 is 1.
Lets's calculate LCM of 82,13,78,949
2 | 82, 13, 78, 949 |
13 | 41, 13, 39, 949 |
41, 1, 3, 73 |
∴ So the LCM of the given numbers is 2 x 13 x 41 x 1 x 3 x 73 = 233454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233454
Therefore, the GCF of Fractions 32/82,10/13,68/78,47/949 is 1/233454
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 82,13,78,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,13,78,949) = 1
common factors(in case of two or more numbers have common factors) = 338
GCF(82,13,78,949) x common factors =1 x 338 = 338
LCM(82,13,78,949) = ( 82 × 13 × 78 × 949 ) / 338
LCM(82,13,78,949) = 78907452 / 338
LCM(82,13,78,949) = 233454
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 32/82, 10/13, 68/78, 47/949?
Answer: GCF of Numerators as per given numbers 32/82, 10/13, 68/78, 47/949 is
GCF of Numerators i.e. for 32,10,68,47 is 1
LCM of denominators i.e. for 82,13,78,949 is 233454.
Thus, GCF of Fractions is 1/233454.Finally, GCF of Fractions for 32/82, 10/13, 68/78, 47/949 is 1/233454.