Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 639/89,298/31,885/978
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 639,298,885
Greatest Common Factor of Numerators i.e. GCF of 639,298,885 is 1 .
LCM of Denominators means LCM of 89,31,978 as per the given fractions.
LCM of 89,31,978 is 2698302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 639,298,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 639,298,885 . The biggest common factor number is the GCF number.
So the greatest common factor 639,298,885 is 1.
Lets's calculate LCM of 89,31,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 2698302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2698302
Therefore, the GCF of Fractions 639/89,298/31,885/978 is 1/2698302
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 89,31,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,31,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,31,978) x common factors =1 x 1 = 1
LCM(89,31,978) = ( 89 × 31 × 978 ) / 1
LCM(89,31,978) = 2698302 / 1
LCM(89,31,978) = 2698302
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 639/89, 298/31, 885/978?
Answer: GCF of Numerators as per given numbers 639/89, 298/31, 885/978 is
GCF of Numerators i.e. for 639,298,885 is 1
LCM of denominators i.e. for 89,31,978 is 2698302.
Thus, GCF of Fractions is 1/2698302.Finally, GCF of Fractions for 639/89, 298/31, 885/978 is 1/2698302.