GCF of 24/307, 788/348, 385/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/307, 788/348, 385/605 i.e 1/64635780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/307, 788/348, 385/605.
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 24/307,788/348,385/605?
Given fractions are 24/307,788/348,385/605
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 24/307,788/348,385/605, numerators are 24,788,385
Denominators are 307,348,605
The GCF of 24,788,385 is 1 .
LCM of 307,348,605 is 64635780.
The greatest common factor of 24/307,788/348,385/605 = [GCF of 24,788,385]/[LCM of 307,348,605]= 1/64635780
Therefore, the GCF of 24/307,788/348,385/605 is 1/64635780.
To find the highest common factor of 24,788,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 788 are 1, 2, 4, 197, 394, 788
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 24,788,385 is 1.
Lets's calculate GCF of 24,788,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 24,788,385 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 788
:1,2,4,197,394,788
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 24,788,385 . The biggest common factor number is the GCF number.
So the greatest common factor 24,788,385 is 1.
Lets's calculate LCM of 307,348,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 64635780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64635780
Therefore, the GCF of Fractions 24/307,788/348,385/605 is 1/64635780
Least Common Multiple of 307,348,605 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 307,348,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,348,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,348,605) x common factors =1 x 1 = 1
LCM(307,348,605) = ( 307 × 348 × 605 ) / 1
LCM(307,348,605) = 64635780 / 1
LCM(307,348,605) = 64635780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 24/307, 788/348, 385/605
1. What is the HCF of 24,788,385?
The HCF of 24,788,385 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 24/307, 788/348, 385/605?
Answer: GCF of Numerators as per given numbers 24/307, 788/348, 385/605 is
GCF of Numerators i.e. for 24,788,385 is 1
LCM of denominators i.e. for 307,348,605 is 64635780.
Thus, GCF of Fractions is 1/64635780.Finally, GCF of Fractions for 24/307, 788/348, 385/605 is 1/64635780.