Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/204,2284/924
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 747,2284
Greatest Common Factor of Numerators i.e. GCF of 747,2284 is 1 .
LCM of Denominators means LCM of 204,924 as per the given fractions.
LCM of 204,924 is 15708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 747,2284
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 2284
List of positive integer factors of 2284 that divides 2284 without a remainder.
1,2,4,571,1142,2284
Greatest Common Factor
We found the factors 747,2284 . The biggest common factor number is the GCF number.
So the greatest common factor 747,2284 is 1.
Lets's calculate LCM of 204,924
2 | 204, 924 |
2 | 102, 462 |
3 | 51, 231 |
17, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 77 = 15708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15708
Therefore, the GCF of Fractions 747/204,2284/924 is 1/15708
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 204,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,924) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(204,924) x common factors =12 x 1 = 12
LCM(204,924) = ( 204 × 924 ) / 12
LCM(204,924) = 188496 / 12
LCM(204,924) = 15708
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 747/204, 2284/924?
Answer: GCF of Numerators as per given numbers 747/204, 2284/924 is
GCF of Numerators i.e. for 747,2284 is 1
LCM of denominators i.e. for 204,924 is 15708.
Thus, GCF of Fractions is 1/15708.Finally, GCF of Fractions for 747/204, 2284/924 is 1/15708.