Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/73,54/18,79/597,428/227
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 1,54,79,428
Greatest Common Factor of Numerators i.e. GCF of 1,54,79,428 is 1 .
LCM of Denominators means LCM of 73,18,597,227 as per the given fractions.
LCM of 73,18,597,227 is 59357322 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,54,79,428
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors 1,54,79,428 . The biggest common factor number is the GCF number.
So the greatest common factor 1,54,79,428 is 1.
Lets's calculate LCM of 73,18,597,227
3 | 73, 18, 597, 227 |
73, 6, 199, 227 |
∴ So the LCM of the given numbers is 3 x 73 x 6 x 199 x 227 = 59357322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59357322
Therefore, the GCF of Fractions 1/73,54/18,79/597,428/227 is 1/59357322
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 73,18,597,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,18,597,227) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(73,18,597,227) x common factors =1 x 3 = 3
LCM(73,18,597,227) = ( 73 × 18 × 597 × 227 ) / 3
LCM(73,18,597,227) = 178071966 / 3
LCM(73,18,597,227) = 59357322
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 1/73, 54/18, 79/597, 428/227?
Answer: GCF of Numerators as per given numbers 1/73, 54/18, 79/597, 428/227 is
GCF of Numerators i.e. for 1,54,79,428 is 1
LCM of denominators i.e. for 73,18,597,227 is 59357322.
Thus, GCF of Fractions is 1/59357322.Finally, GCF of Fractions for 1/73, 54/18, 79/597, 428/227 is 1/59357322.