Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5748/27,9557/521
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 5748,9557
Greatest Common Factor of Numerators i.e. GCF of 5748,9557 is 1 .
LCM of Denominators means LCM of 27,521 as per the given fractions.
LCM of 27,521 is 14067 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5748,9557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5748
List of positive integer factors of 5748 that divides 5748 without a remainder.
1,2,3,4,6,12,479,958,1437,1916,2874,5748
Factors of 9557
List of positive integer factors of 9557 that divides 9557 without a remainder.
1,19,503,9557
Greatest Common Factor
We found the factors 5748,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 5748,9557 is 1.
Lets's calculate LCM of 27,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 14067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14067
Therefore, the GCF of Fractions 5748/27,9557/521 is 1/14067
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 27,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,521) x common factors =1 x 1 = 1
LCM(27,521) = ( 27 × 521 ) / 1
LCM(27,521) = 14067 / 1
LCM(27,521) = 14067
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 5748/27, 9557/521?
Answer: GCF of Numerators as per given numbers 5748/27, 9557/521 is
GCF of Numerators i.e. for 5748,9557 is 1
LCM of denominators i.e. for 27,521 is 14067.
Thus, GCF of Fractions is 1/14067.Finally, GCF of Fractions for 5748/27, 9557/521 is 1/14067.