Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5993/28,3503/562
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 5993,3503
Greatest Common Factor of Numerators i.e. GCF of 5993,3503 is 1 .
LCM of Denominators means LCM of 28,562 as per the given fractions.
LCM of 28,562 is 7868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5993,3503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5993
List of positive integer factors of 5993 that divides 5993 without a remainder.
1,13,461,5993
Factors of 3503
List of positive integer factors of 3503 that divides 3503 without a remainder.
1,31,113,3503
Greatest Common Factor
We found the factors 5993,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 5993,3503 is 1.
Lets's calculate LCM of 28,562
2 | 28, 562 |
14, 281 |
∴ So the LCM of the given numbers is 2 x 14 x 281 = 7868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7868
Therefore, the GCF of Fractions 5993/28,3503/562 is 1/7868
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 28,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,562) x common factors =2 x 1 = 2
LCM(28,562) = ( 28 × 562 ) / 2
LCM(28,562) = 15736 / 2
LCM(28,562) = 7868
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 5993/28, 3503/562?
Answer: GCF of Numerators as per given numbers 5993/28, 3503/562 is
GCF of Numerators i.e. for 5993,3503 is 1
LCM of denominators i.e. for 28,562 is 7868.
Thus, GCF of Fractions is 1/7868.Finally, GCF of Fractions for 5993/28, 3503/562 is 1/7868.