GCF of 9312/646, 2568/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9312/646, 2568/449 i.e 24/290054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9312/646, 2568/449.
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 9312/646,2568/449?
Given fractions are 9312/646,2568/449
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 9312/646,2568/449, numerators are 9312,2568
Denominators are 646,449
The GCF of 9312,2568 is 24 .
LCM of 646,449 is 290054.
The greatest common factor of 9312/646,2568/449 = [GCF of 9312,2568]/[LCM of 646,449]= 24/290054
Therefore, the GCF of 9312/646,2568/449 is 24/290054.
To find the highest common factor of 9312,2568, we have to find the factors of both numbers and list the highest common factor.
The factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312
The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568
The HCF of 9312,2568 is 24.
Lets's calculate GCF of 9312,2568
| 2 | 9312, 2568 |
| 2 | 4656, 1284 |
| 2 | 2328, 642 |
| 3 | 1164, 321 |
| 388, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 9312,2568 By Matching Biggest Common Factor Method
Now, list down the factors of 9312
:1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312
Now, list down the factors of 2568
:1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Greatest Common Factor
We found the factors 9312,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,2568 is 24.
Lets's calculate LCM of 646,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 290054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/290054
Therefore, the GCF of Fractions 9312/646,2568/449 is 24/290054
Least Common Multiple of 646,449 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 646,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,449) x common factors =1 x 1 = 1
LCM(646,449) = ( 646 × 449 ) / 1
LCM(646,449) = 290054 / 1
LCM(646,449) = 290054
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FAQs on GCF of Fractions of 9312/646, 2568/449
1. What is the HCF of 9312,2568?
The HCF of 9312,2568 is 24
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 9312/646, 2568/449?
Answer: GCF of Numerators as per given numbers 9312/646, 2568/449 is
GCF of Numerators i.e. for 9312,2568 is 24
LCM of denominators i.e. for 646,449 is 290054.
Thus, GCF of Fractions is 24/290054.Finally, GCF of Fractions for 9312/646, 2568/449 is 24/290054.