Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5718/79,4041/586
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 5718,4041
Greatest Common Factor of Numerators i.e. GCF of 5718,4041 is 3 .
LCM of Denominators means LCM of 79,586 as per the given fractions.
LCM of 79,586 is 46294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5718,4041
3 | 5718, 4041 |
1906, 1347 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5718
List of positive integer factors of 5718 that divides 5718 without a remainder.
1,2,3,6,953,1906,2859,5718
Factors of 4041
List of positive integer factors of 4041 that divides 4041 without a remainder.
1,3,9,449,1347,4041
Greatest Common Factor
We found the factors 5718,4041 . The biggest common factor number is the GCF number.
So the greatest common factor 5718,4041 is 3.
Lets's calculate LCM of 79,586
Given numbers has no common factors except 1. So, there LCM is their product i.e 46294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46294
Therefore, the GCF of Fractions 5718/79,4041/586 is 3/46294
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 79,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,586) x common factors =1 x 1 = 1
LCM(79,586) = ( 79 × 586 ) / 1
LCM(79,586) = 46294 / 1
LCM(79,586) = 46294
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 5718/79, 4041/586?
Answer: GCF of Numerators as per given numbers 5718/79, 4041/586 is
GCF of Numerators i.e. for 5718,4041 is 3
LCM of denominators i.e. for 79,586 is 46294.
Thus, GCF of Fractions is 3/46294.Finally, GCF of Fractions for 5718/79, 4041/586 is 3/46294.