Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7591/93,4040/564
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 7591,4040
Greatest Common Factor of Numerators i.e. GCF of 7591,4040 is 1 .
LCM of Denominators means LCM of 93,564 as per the given fractions.
LCM of 93,564 is 17484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7591,4040
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7591
List of positive integer factors of 7591 that divides 7591 without a remainder.
1,7591
Factors of 4040
List of positive integer factors of 4040 that divides 4040 without a remainder.
1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Greatest Common Factor
We found the factors 7591,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 7591,4040 is 1.
Lets's calculate LCM of 93,564
3 | 93, 564 |
31, 188 |
∴ So the LCM of the given numbers is 3 x 31 x 188 = 17484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17484
Therefore, the GCF of Fractions 7591/93,4040/564 is 1/17484
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 93,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,564) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,564) x common factors =3 x 1 = 3
LCM(93,564) = ( 93 × 564 ) / 3
LCM(93,564) = 52452 / 3
LCM(93,564) = 17484
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 7591/93, 4040/564?
Answer: GCF of Numerators as per given numbers 7591/93, 4040/564 is
GCF of Numerators i.e. for 7591,4040 is 1
LCM of denominators i.e. for 93,564 is 17484.
Thus, GCF of Fractions is 1/17484.Finally, GCF of Fractions for 7591/93, 4040/564 is 1/17484.