GCF of 6219/681, 5824/1650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6219/681, 5824/1650 i.e 1/374550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6219/681, 5824/1650.
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 6219/681,5824/1650?
Given fractions are 6219/681,5824/1650
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 6219/681,5824/1650, numerators are 6219,5824
Denominators are 681,1650
The GCF of 6219,5824 is 1 .
LCM of 681,1650 is 374550.
The greatest common factor of 6219/681,5824/1650 = [GCF of 6219,5824]/[LCM of 681,1650]= 1/374550
Therefore, the GCF of 6219/681,5824/1650 is 1/374550.
To find the highest common factor of 6219,5824, we have to find the factors of both numbers and list the highest common factor.
The factors of 6219 are 1, 3, 9, 691, 2073, 6219
The factors of 5824 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824
The HCF of 6219,5824 is 1.
Lets's calculate GCF of 6219,5824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6219,5824 By Matching Biggest Common Factor Method
Now, list down the factors of 6219
:1,3,9,691,2073,6219
Now, list down the factors of 5824
:1,2,4,7,8,13,14,16,26,28,32,52,56,64,91,104,112,182,208,224,364,416,448,728,832,1456,2912,5824
Greatest Common Factor
We found the factors 6219,5824 . The biggest common factor number is the GCF number.
So the greatest common factor 6219,5824 is 1.
Lets's calculate LCM of 681,1650
| 3 | 681, 1650 |
| 227, 550 |
∴ So the LCM of the given numbers is 3 x 227 x 550 = 374550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374550
Therefore, the GCF of Fractions 6219/681,5824/1650 is 1/374550
Least Common Multiple of 681,1650 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 681,1650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,1650) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,1650) x common factors =3 x 1 = 3
LCM(681,1650) = ( 681 × 1650 ) / 3
LCM(681,1650) = 1123650 / 3
LCM(681,1650) = 374550
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6219/681, 5824/1650
1. What is the HCF of 6219,5824?
The HCF of 6219,5824 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 6219/681, 5824/1650?
Answer: GCF of Numerators as per given numbers 6219/681, 5824/1650 is
GCF of Numerators i.e. for 6219,5824 is 1
LCM of denominators i.e. for 681,1650 is 374550.
Thus, GCF of Fractions is 1/374550.Finally, GCF of Fractions for 6219/681, 5824/1650 is 1/374550.