Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/79,12/77,27/355,254/588
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 4,12,27,254
Greatest Common Factor of Numerators i.e. GCF of 4,12,27,254 is 1 .
LCM of Denominators means LCM of 79,77,355,588 as per the given fractions.
LCM of 79,77,355,588 is 181395060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,12,27,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 4,12,27,254 . The biggest common factor number is the GCF number.
So the greatest common factor 4,12,27,254 is 1.
Lets's calculate LCM of 79,77,355,588
7 | 79, 77, 355, 588 |
79, 11, 355, 84 |
∴ So the LCM of the given numbers is 7 x 79 x 11 x 355 x 84 = 181395060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181395060
Therefore, the GCF of Fractions 4/79,12/77,27/355,254/588 is 1/181395060
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 79,77,355,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,77,355,588) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(79,77,355,588) x common factors =1 x 7 = 7
LCM(79,77,355,588) = ( 79 × 77 × 355 × 588 ) / 7
LCM(79,77,355,588) = 1269765420 / 7
LCM(79,77,355,588) = 181395060
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 4/79, 12/77, 27/355, 254/588?
Answer: GCF of Numerators as per given numbers 4/79, 12/77, 27/355, 254/588 is
GCF of Numerators i.e. for 4,12,27,254 is 1
LCM of denominators i.e. for 79,77,355,588 is 181395060.
Thus, GCF of Fractions is 1/181395060.Finally, GCF of Fractions for 4/79, 12/77, 27/355, 254/588 is 1/181395060.