Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 658/71,216/16,439/987
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 658,216,439
Greatest Common Factor of Numerators i.e. GCF of 658,216,439 is 1 .
LCM of Denominators means LCM of 71,16,987 as per the given fractions.
LCM of 71,16,987 is 1121232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 658,216,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Greatest Common Factor
We found the factors 658,216,439 . The biggest common factor number is the GCF number.
So the greatest common factor 658,216,439 is 1.
Lets's calculate LCM of 71,16,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 1121232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1121232
Therefore, the GCF of Fractions 658/71,216/16,439/987 is 1/1121232
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 71,16,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,16,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,16,987) x common factors =1 x 1 = 1
LCM(71,16,987) = ( 71 × 16 × 987 ) / 1
LCM(71,16,987) = 1121232 / 1
LCM(71,16,987) = 1121232
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 658/71, 216/16, 439/987?
Answer: GCF of Numerators as per given numbers 658/71, 216/16, 439/987 is
GCF of Numerators i.e. for 658,216,439 is 1
LCM of denominators i.e. for 71,16,987 is 1121232.
Thus, GCF of Fractions is 1/1121232.Finally, GCF of Fractions for 658/71, 216/16, 439/987 is 1/1121232.