GCF of 5910/687, 3825/6772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5910/687, 3825/6772 i.e 15/4652364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5910/687, 3825/6772.
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 5910/687,3825/6772?
Given fractions are 5910/687,3825/6772
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 5910/687,3825/6772, numerators are 5910,3825
Denominators are 687,6772
The GCF of 5910,3825 is 15 .
LCM of 687,6772 is 4652364.
The greatest common factor of 5910/687,3825/6772 = [GCF of 5910,3825]/[LCM of 687,6772]= 15/4652364
Therefore, the GCF of 5910/687,3825/6772 is 15/4652364.
To find the highest common factor of 5910,3825, we have to find the factors of both numbers and list the highest common factor.
The factors of 5910 are 1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910
The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825
The HCF of 5910,3825 is 15.
Lets's calculate GCF of 5910,3825
| 3 | 5910, 3825 |
| 5 | 1970, 1275 |
| 394, 255 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5910,3825 By Matching Biggest Common Factor Method
Now, list down the factors of 5910
:1,2,3,5,6,10,15,30,197,394,591,985,1182,1970,2955,5910
Now, list down the factors of 3825
:1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825
Greatest Common Factor
We found the factors 5910,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 5910,3825 is 15.
Lets's calculate LCM of 687,6772
Given numbers has no common factors except 1. So, there LCM is their product i.e 4652364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/4652364
Therefore, the GCF of Fractions 5910/687,3825/6772 is 15/4652364
Least Common Multiple of 687,6772 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 687,6772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,6772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,6772) x common factors =1 x 1 = 1
LCM(687,6772) = ( 687 × 6772 ) / 1
LCM(687,6772) = 4652364 / 1
LCM(687,6772) = 4652364
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5910/687, 3825/6772
1. What is the HCF of 5910,3825?
The HCF of 5910,3825 is 15
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 5910/687, 3825/6772?
Answer: GCF of Numerators as per given numbers 5910/687, 3825/6772 is
GCF of Numerators i.e. for 5910,3825 is 15
LCM of denominators i.e. for 687,6772 is 4652364.
Thus, GCF of Fractions is 15/4652364.Finally, GCF of Fractions for 5910/687, 3825/6772 is 15/4652364.