Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5746/77,4585/578
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 5746,4585
Greatest Common Factor of Numerators i.e. GCF of 5746,4585 is 1 .
LCM of Denominators means LCM of 77,578 as per the given fractions.
LCM of 77,578 is 44506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5746,4585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5746
List of positive integer factors of 5746 that divides 5746 without a remainder.
1,2,13,17,26,34,169,221,338,442,2873,5746
Factors of 4585
List of positive integer factors of 4585 that divides 4585 without a remainder.
1,5,7,35,131,655,917,4585
Greatest Common Factor
We found the factors 5746,4585 . The biggest common factor number is the GCF number.
So the greatest common factor 5746,4585 is 1.
Lets's calculate LCM of 77,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 44506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44506
Therefore, the GCF of Fractions 5746/77,4585/578 is 1/44506
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 77,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,578) x common factors =1 x 1 = 1
LCM(77,578) = ( 77 × 578 ) / 1
LCM(77,578) = 44506 / 1
LCM(77,578) = 44506
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 5746/77, 4585/578?
Answer: GCF of Numerators as per given numbers 5746/77, 4585/578 is
GCF of Numerators i.e. for 5746,4585 is 1
LCM of denominators i.e. for 77,578 is 44506.
Thus, GCF of Fractions is 1/44506.Finally, GCF of Fractions for 5746/77, 4585/578 is 1/44506.