Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/236,344/493,542/662
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 554,344,542
Greatest Common Factor of Numerators i.e. GCF of 554,344,542 is 2 .
LCM of Denominators means LCM of 236,493,662 as per the given fractions.
LCM of 236,493,662 is 38511188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,344,542
2 | 554, 344, 542 |
277, 172, 271 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 554,344,542 . The biggest common factor number is the GCF number.
So the greatest common factor 554,344,542 is 2.
Lets's calculate LCM of 236,493,662
2 | 236, 493, 662 |
118, 493, 331 |
∴ So the LCM of the given numbers is 2 x 118 x 493 x 331 = 38511188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38511188
Therefore, the GCF of Fractions 554/236,344/493,542/662 is 2/38511188
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 236,493,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,493,662) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(236,493,662) x common factors =1 x 2 = 2
LCM(236,493,662) = ( 236 × 493 × 662 ) / 2
LCM(236,493,662) = 77022376 / 2
LCM(236,493,662) = 38511188
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 554/236, 344/493, 542/662?
Answer: GCF of Numerators as per given numbers 554/236, 344/493, 542/662 is
GCF of Numerators i.e. for 554,344,542 is 2
LCM of denominators i.e. for 236,493,662 is 38511188.
Thus, GCF of Fractions is 2/38511188.Finally, GCF of Fractions for 554/236, 344/493, 542/662 is 2/38511188.