Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 644/98,542/16,914/59
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 644,542,914
Greatest Common Factor of Numerators i.e. GCF of 644,542,914 is 2 .
LCM of Denominators means LCM of 98,16,59 as per the given fractions.
LCM of 98,16,59 is 46256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 644,542,914
2 | 644, 542, 914 |
322, 271, 457 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 644,542,914 . The biggest common factor number is the GCF number.
So the greatest common factor 644,542,914 is 2.
Lets's calculate LCM of 98,16,59
2 | 98, 16, 59 |
49, 8, 59 |
∴ So the LCM of the given numbers is 2 x 49 x 8 x 59 = 46256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46256
Therefore, the GCF of Fractions 644/98,542/16,914/59 is 2/46256
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 98,16,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,16,59) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,16,59) x common factors =1 x 2 = 2
LCM(98,16,59) = ( 98 × 16 × 59 ) / 2
LCM(98,16,59) = 92512 / 2
LCM(98,16,59) = 46256
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 644/98, 542/16, 914/59?
Answer: GCF of Numerators as per given numbers 644/98, 542/16, 914/59 is
GCF of Numerators i.e. for 644,542,914 is 2
LCM of denominators i.e. for 98,16,59 is 46256.
Thus, GCF of Fractions is 2/46256.Finally, GCF of Fractions for 644/98, 542/16, 914/59 is 2/46256.