GCF of 6848/218, 1668/4588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6848/218, 1668/4588 i.e 4/500092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6848/218, 1668/4588.
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 6848/218,1668/4588?
Given fractions are 6848/218,1668/4588
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 6848/218,1668/4588, numerators are 6848,1668
Denominators are 218,4588
The GCF of 6848,1668 is 4 .
LCM of 218,4588 is 500092.
The greatest common factor of 6848/218,1668/4588 = [GCF of 6848,1668]/[LCM of 218,4588]= 4/500092
Therefore, the GCF of 6848/218,1668/4588 is 4/500092.
To find the highest common factor of 6848,1668, we have to find the factors of both numbers and list the highest common factor.
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668
The HCF of 6848,1668 is 4.
Lets's calculate GCF of 6848,1668
| 2 | 6848, 1668 |
| 2 | 3424, 834 |
| 1712, 417 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6848,1668 By Matching Biggest Common Factor Method
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Now, list down the factors of 1668
:1,2,3,4,6,12,139,278,417,556,834,1668
Greatest Common Factor
We found the factors 6848,1668 . The biggest common factor number is the GCF number.
So the greatest common factor 6848,1668 is 4.
Lets's calculate LCM of 218,4588
| 2 | 218, 4588 |
| 109, 2294 |
∴ So the LCM of the given numbers is 2 x 109 x 2294 = 500092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/500092
Therefore, the GCF of Fractions 6848/218,1668/4588 is 4/500092
Least Common Multiple of 218,4588 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 218,4588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,4588) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,4588) x common factors =2 x 1 = 2
LCM(218,4588) = ( 218 × 4588 ) / 2
LCM(218,4588) = 1000184 / 2
LCM(218,4588) = 500092
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FAQs on GCF of Fractions of 6848/218, 1668/4588
1. What is the HCF of 6848,1668?
The HCF of 6848,1668 is 4
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 6848/218, 1668/4588?
Answer: GCF of Numerators as per given numbers 6848/218, 1668/4588 is
GCF of Numerators i.e. for 6848,1668 is 4
LCM of denominators i.e. for 218,4588 is 500092.
Thus, GCF of Fractions is 4/500092.Finally, GCF of Fractions for 6848/218, 1668/4588 is 4/500092.