Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 616/234,304/542,831/411
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 616,304,831
Greatest Common Factor of Numerators i.e. GCF of 616,304,831 is 1 .
LCM of Denominators means LCM of 234,542,411 as per the given fractions.
LCM of 234,542,411 is 8687718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 616,304,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 616,304,831 . The biggest common factor number is the GCF number.
So the greatest common factor 616,304,831 is 1.
Lets's calculate LCM of 234,542,411
2 | 234, 542, 411 |
3 | 117, 271, 411 |
39, 271, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 39 x 271 x 137 = 8687718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8687718
Therefore, the GCF of Fractions 616/234,304/542,831/411 is 1/8687718
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 234,542,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,542,411) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(234,542,411) x common factors =1 x 6 = 6
LCM(234,542,411) = ( 234 × 542 × 411 ) / 6
LCM(234,542,411) = 52126308 / 6
LCM(234,542,411) = 8687718
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 616/234, 304/542, 831/411?
Answer: GCF of Numerators as per given numbers 616/234, 304/542, 831/411 is
GCF of Numerators i.e. for 616,304,831 is 1
LCM of denominators i.e. for 234,542,411 is 8687718.
Thus, GCF of Fractions is 1/8687718.Finally, GCF of Fractions for 616/234, 304/542, 831/411 is 1/8687718.