Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5803/844,6803/9758
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 5803,6803
Greatest Common Factor of Numerators i.e. GCF of 5803,6803 is 1 .
LCM of Denominators means LCM of 844,9758 as per the given fractions.
LCM of 844,9758 is 4117876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5803,6803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5803
List of positive integer factors of 5803 that divides 5803 without a remainder.
1,7,829,5803
Factors of 6803
List of positive integer factors of 6803 that divides 6803 without a remainder.
1,6803
Greatest Common Factor
We found the factors 5803,6803 . The biggest common factor number is the GCF number.
So the greatest common factor 5803,6803 is 1.
Lets's calculate LCM of 844,9758
2 | 844, 9758 |
422, 4879 |
∴ So the LCM of the given numbers is 2 x 422 x 4879 = 4117876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4117876
Therefore, the GCF of Fractions 5803/844,6803/9758 is 1/4117876
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 844,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,9758) x common factors =2 x 1 = 2
LCM(844,9758) = ( 844 × 9758 ) / 2
LCM(844,9758) = 8235752 / 2
LCM(844,9758) = 4117876
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 5803/844, 6803/9758?
Answer: GCF of Numerators as per given numbers 5803/844, 6803/9758 is
GCF of Numerators i.e. for 5803,6803 is 1
LCM of denominators i.e. for 844,9758 is 4117876.
Thus, GCF of Fractions is 1/4117876.Finally, GCF of Fractions for 5803/844, 6803/9758 is 1/4117876.