Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1482/27,5586/800
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 1482,5586
Greatest Common Factor of Numerators i.e. GCF of 1482,5586 is 114 .
LCM of Denominators means LCM of 27,800 as per the given fractions.
LCM of 27,800 is 21600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1482,5586
2 | 1482, 5586 |
3 | 741, 2793 |
19 | 247, 931 |
13, 49 |
∴ So the GCF of the given numbers is 2 x 3 x 19 = 114
Factors of 1482
List of positive integer factors of 1482 that divides 1482 without a remainder.
1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Factors of 5586
List of positive integer factors of 5586 that divides 5586 without a remainder.
1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586
Greatest Common Factor
We found the factors 1482,5586 . The biggest common factor number is the GCF number.
So the greatest common factor 1482,5586 is 114.
Lets's calculate LCM of 27,800
Given numbers has no common factors except 1. So, there LCM is their product i.e 21600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/21600
Therefore, the GCF of Fractions 1482/27,5586/800 is 114/21600
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 27,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,800) x common factors =1 x 1 = 1
LCM(27,800) = ( 27 × 800 ) / 1
LCM(27,800) = 21600 / 1
LCM(27,800) = 21600
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 1482/27, 5586/800?
Answer: GCF of Numerators as per given numbers 1482/27, 5586/800 is
GCF of Numerators i.e. for 1482,5586 is 114
LCM of denominators i.e. for 27,800 is 21600.
Thus, GCF of Fractions is 114/21600.Finally, GCF of Fractions for 1482/27, 5586/800 is 114/21600.