GCF of 6448/566, 1775/9016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6448/566, 1775/9016 i.e 1/2551528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6448/566, 1775/9016.
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 6448/566,1775/9016?
Given fractions are 6448/566,1775/9016
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 6448/566,1775/9016, numerators are 6448,1775
Denominators are 566,9016
The GCF of 6448,1775 is 1 .
LCM of 566,9016 is 2551528.
The greatest common factor of 6448/566,1775/9016 = [GCF of 6448,1775]/[LCM of 566,9016]= 1/2551528
Therefore, the GCF of 6448/566,1775/9016 is 1/2551528.
To find the highest common factor of 6448,1775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6448 are 1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224, 6448
The factors of 1775 are 1, 5, 25, 71, 355, 1775
The HCF of 6448,1775 is 1.
Lets's calculate GCF of 6448,1775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6448,1775 By Matching Biggest Common Factor Method
Now, list down the factors of 6448
:1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448
Now, list down the factors of 1775
:1,5,25,71,355,1775
Greatest Common Factor
We found the factors 6448,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 6448,1775 is 1.
Lets's calculate LCM of 566,9016
| 2 | 566, 9016 |
| 283, 4508 |
∴ So the LCM of the given numbers is 2 x 283 x 4508 = 2551528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2551528
Therefore, the GCF of Fractions 6448/566,1775/9016 is 1/2551528
Least Common Multiple of 566,9016 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 566,9016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,9016) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,9016) x common factors =2 x 1 = 2
LCM(566,9016) = ( 566 × 9016 ) / 2
LCM(566,9016) = 5103056 / 2
LCM(566,9016) = 2551528
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FAQs on GCF of Fractions of 6448/566, 1775/9016
1. What is the HCF of 6448,1775?
The HCF of 6448,1775 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 6448/566, 1775/9016?
Answer: GCF of Numerators as per given numbers 6448/566, 1775/9016 is
GCF of Numerators i.e. for 6448,1775 is 1
LCM of denominators i.e. for 566,9016 is 2551528.
Thus, GCF of Fractions is 1/2551528.Finally, GCF of Fractions for 6448/566, 1775/9016 is 1/2551528.