Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/65,139/81,989/503
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 510,139,989
Greatest Common Factor of Numerators i.e. GCF of 510,139,989 is 1 .
LCM of Denominators means LCM of 65,81,503 as per the given fractions.
LCM of 65,81,503 is 2648295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,139,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 510,139,989 . The biggest common factor number is the GCF number.
So the greatest common factor 510,139,989 is 1.
Lets's calculate LCM of 65,81,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 2648295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2648295
Therefore, the GCF of Fractions 510/65,139/81,989/503 is 1/2648295
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 65,81,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,81,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,81,503) x common factors =1 x 1 = 1
LCM(65,81,503) = ( 65 × 81 × 503 ) / 1
LCM(65,81,503) = 2648295 / 1
LCM(65,81,503) = 2648295
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 510/65, 139/81, 989/503?
Answer: GCF of Numerators as per given numbers 510/65, 139/81, 989/503 is
GCF of Numerators i.e. for 510,139,989 is 1
LCM of denominators i.e. for 65,81,503 is 2648295.
Thus, GCF of Fractions is 1/2648295.Finally, GCF of Fractions for 510/65, 139/81, 989/503 is 1/2648295.