Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/727,792/142,618/849
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 941,792,618
Greatest Common Factor of Numerators i.e. GCF of 941,792,618 is 1 .
LCM of Denominators means LCM of 727,142,849 as per the given fractions.
LCM of 727,142,849 is 87645666 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,792,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 941,792,618 . The biggest common factor number is the GCF number.
So the greatest common factor 941,792,618 is 1.
Lets's calculate LCM of 727,142,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 87645666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87645666
Therefore, the GCF of Fractions 941/727,792/142,618/849 is 1/87645666
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 727,142,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,142,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,142,849) x common factors =1 x 1 = 1
LCM(727,142,849) = ( 727 × 142 × 849 ) / 1
LCM(727,142,849) = 87645666 / 1
LCM(727,142,849) = 87645666
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 941/727, 792/142, 618/849?
Answer: GCF of Numerators as per given numbers 941/727, 792/142, 618/849 is
GCF of Numerators i.e. for 941,792,618 is 1
LCM of denominators i.e. for 727,142,849 is 87645666.
Thus, GCF of Fractions is 1/87645666.Finally, GCF of Fractions for 941/727, 792/142, 618/849 is 1/87645666.