GCF of 5788/837, 9393/808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5788/837, 9393/808 i.e 1/676296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5788/837, 9393/808.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5788/837,9393/808?
Given fractions are 5788/837,9393/808
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5788/837,9393/808, numerators are 5788,9393
Denominators are 837,808
The GCF of 5788,9393 is 1 .
LCM of 837,808 is 676296.
The greatest common factor of 5788/837,9393/808 = [GCF of 5788,9393]/[LCM of 837,808]= 1/676296
Therefore, the GCF of 5788/837,9393/808 is 1/676296.
To find the highest common factor of 5788,9393, we have to find the factors of both numbers and list the highest common factor.
The factors of 5788 are 1, 2, 4, 1447, 2894, 5788
The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393
The HCF of 5788,9393 is 1.
Lets's calculate GCF of 5788,9393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5788,9393 By Matching Biggest Common Factor Method
Now, list down the factors of 5788
:1,2,4,1447,2894,5788
Now, list down the factors of 9393
:1,3,31,93,101,303,3131,9393
Greatest Common Factor
We found the factors 5788,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,9393 is 1.
Lets's calculate LCM of 837,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 676296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/676296
Therefore, the GCF of Fractions 5788/837,9393/808 is 1/676296
Least Common Multiple of 837,808 with GCF Formula
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 837,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,808) x common factors =1 x 1 = 1
LCM(837,808) = ( 837 × 808 ) / 1
LCM(837,808) = 676296 / 1
LCM(837,808) = 676296
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5788/837, 9393/808
1. What is the HCF of 5788,9393?
The HCF of 5788,9393 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 5788/837, 9393/808?
Answer: GCF of Numerators as per given numbers 5788/837, 9393/808 is
GCF of Numerators i.e. for 5788,9393 is 1
LCM of denominators i.e. for 837,808 is 676296.
Thus, GCF of Fractions is 1/676296.Finally, GCF of Fractions for 5788/837, 9393/808 is 1/676296.