GCF of 6448/728, 2203/9262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6448/728, 2203/9262 i.e 1/3371368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6448/728, 2203/9262.
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 6448/728,2203/9262?
Given fractions are 6448/728,2203/9262
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 6448/728,2203/9262, numerators are 6448,2203
Denominators are 728,9262
The GCF of 6448,2203 is 1 .
LCM of 728,9262 is 3371368.
The greatest common factor of 6448/728,2203/9262 = [GCF of 6448,2203]/[LCM of 728,9262]= 1/3371368
Therefore, the GCF of 6448/728,2203/9262 is 1/3371368.
To find the highest common factor of 6448,2203, 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 2203 are 1, 2203
The HCF of 6448,2203 is 1.
Lets's calculate GCF of 6448,2203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6448,2203 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 2203
:1,2203
Greatest Common Factor
We found the factors 6448,2203 . The biggest common factor number is the GCF number.
So the greatest common factor 6448,2203 is 1.
Lets's calculate LCM of 728,9262
| 2 | 728, 9262 |
| 364, 4631 |
∴ So the LCM of the given numbers is 2 x 364 x 4631 = 3371368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3371368
Therefore, the GCF of Fractions 6448/728,2203/9262 is 1/3371368
Least Common Multiple of 728,9262 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 728,9262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,9262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,9262) x common factors =2 x 1 = 2
LCM(728,9262) = ( 728 × 9262 ) / 2
LCM(728,9262) = 6742736 / 2
LCM(728,9262) = 3371368
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FAQs on GCF of Fractions of 6448/728, 2203/9262
1. What is the HCF of 6448,2203?
The HCF of 6448,2203 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 6448/728, 2203/9262?
Answer: GCF of Numerators as per given numbers 6448/728, 2203/9262 is
GCF of Numerators i.e. for 6448,2203 is 1
LCM of denominators i.e. for 728,9262 is 3371368.
Thus, GCF of Fractions is 1/3371368.Finally, GCF of Fractions for 6448/728, 2203/9262 is 1/3371368.