GCF of 4366/424, 7664/3256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4366/424, 7664/3256 i.e 2/172568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4366/424, 7664/3256.
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 4366/424,7664/3256?
Given fractions are 4366/424,7664/3256
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 4366/424,7664/3256, numerators are 4366,7664
Denominators are 424,3256
The GCF of 4366,7664 is 2 .
LCM of 424,3256 is 172568.
The greatest common factor of 4366/424,7664/3256 = [GCF of 4366,7664]/[LCM of 424,3256]= 2/172568
Therefore, the GCF of 4366/424,7664/3256 is 2/172568.
To find the highest common factor of 4366,7664, we have to find the factors of both numbers and list the highest common factor.
The factors of 4366 are 1, 2, 37, 59, 74, 118, 2183, 4366
The factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664
The HCF of 4366,7664 is 2.
Lets's calculate GCF of 4366,7664
| 2 | 4366, 7664 |
| 2183, 3832 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4366,7664 By Matching Biggest Common Factor Method
Now, list down the factors of 4366
:1,2,37,59,74,118,2183,4366
Now, list down the factors of 7664
:1,2,4,8,16,479,958,1916,3832,7664
Greatest Common Factor
We found the factors 4366,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 4366,7664 is 2.
Lets's calculate LCM of 424,3256
| 2 | 424, 3256 |
| 2 | 212, 1628 |
| 2 | 106, 814 |
| 53, 407 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 407 = 172568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172568
Therefore, the GCF of Fractions 4366/424,7664/3256 is 2/172568
Least Common Multiple of 424,3256 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 424,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,3256) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(424,3256) x common factors =8 x 1 = 8
LCM(424,3256) = ( 424 × 3256 ) / 8
LCM(424,3256) = 1380544 / 8
LCM(424,3256) = 172568
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FAQs on GCF of Fractions of 4366/424, 7664/3256
1. What is the HCF of 4366,7664?
The HCF of 4366,7664 is 2
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 4366/424, 7664/3256?
Answer: GCF of Numerators as per given numbers 4366/424, 7664/3256 is
GCF of Numerators i.e. for 4366,7664 is 2
LCM of denominators i.e. for 424,3256 is 172568.
Thus, GCF of Fractions is 2/172568.Finally, GCF of Fractions for 4366/424, 7664/3256 is 2/172568.