Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2745/539,4253/5619
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 2745,4253
Greatest Common Factor of Numerators i.e. GCF of 2745,4253 is 1 .
LCM of Denominators means LCM of 539,5619 as per the given fractions.
LCM of 539,5619 is 3028641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2745,4253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2745
List of positive integer factors of 2745 that divides 2745 without a remainder.
1,3,5,9,15,45,61,183,305,549,915,2745
Factors of 4253
List of positive integer factors of 4253 that divides 4253 without a remainder.
1,4253
Greatest Common Factor
We found the factors 2745,4253 . The biggest common factor number is the GCF number.
So the greatest common factor 2745,4253 is 1.
Lets's calculate LCM of 539,5619
Given numbers has no common factors except 1. So, there LCM is their product i.e 3028641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3028641
Therefore, the GCF of Fractions 2745/539,4253/5619 is 1/3028641
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 539,5619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5619) x common factors =1 x 1 = 1
LCM(539,5619) = ( 539 × 5619 ) / 1
LCM(539,5619) = 3028641 / 1
LCM(539,5619) = 3028641
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 2745/539, 4253/5619?
Answer: GCF of Numerators as per given numbers 2745/539, 4253/5619 is
GCF of Numerators i.e. for 2745,4253 is 1
LCM of denominators i.e. for 539,5619 is 3028641.
Thus, GCF of Fractions is 1/3028641.Finally, GCF of Fractions for 2745/539, 4253/5619 is 1/3028641.