GCF of 5995/913, 3789/5262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5995/913, 3789/5262 i.e 1/4804206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5995/913, 3789/5262.
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 5995/913,3789/5262?
Given fractions are 5995/913,3789/5262
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 5995/913,3789/5262, numerators are 5995,3789
Denominators are 913,5262
The GCF of 5995,3789 is 1 .
LCM of 913,5262 is 4804206.
The greatest common factor of 5995/913,3789/5262 = [GCF of 5995,3789]/[LCM of 913,5262]= 1/4804206
Therefore, the GCF of 5995/913,3789/5262 is 1/4804206.
To find the highest common factor of 5995,3789, we have to find the factors of both numbers and list the highest common factor.
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The factors of 3789 are 1, 3, 9, 421, 1263, 3789
The HCF of 5995,3789 is 1.
Lets's calculate GCF of 5995,3789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5995,3789 By Matching Biggest Common Factor Method
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Now, list down the factors of 3789
:1,3,9,421,1263,3789
Greatest Common Factor
We found the factors 5995,3789 . The biggest common factor number is the GCF number.
So the greatest common factor 5995,3789 is 1.
Lets's calculate LCM of 913,5262
Given numbers has no common factors except 1. So, there LCM is their product i.e 4804206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4804206
Therefore, the GCF of Fractions 5995/913,3789/5262 is 1/4804206
Least Common Multiple of 913,5262 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 913,5262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,5262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,5262) x common factors =1 x 1 = 1
LCM(913,5262) = ( 913 × 5262 ) / 1
LCM(913,5262) = 4804206 / 1
LCM(913,5262) = 4804206
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5995/913, 3789/5262
1. What is the HCF of 5995,3789?
The HCF of 5995,3789 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 5995/913, 3789/5262?
Answer: GCF of Numerators as per given numbers 5995/913, 3789/5262 is
GCF of Numerators i.e. for 5995,3789 is 1
LCM of denominators i.e. for 913,5262 is 4804206.
Thus, GCF of Fractions is 1/4804206.Finally, GCF of Fractions for 5995/913, 3789/5262 is 1/4804206.