GCF of 4402/108, 6564/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4402/108, 6564/256 i.e 2/6912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4402/108, 6564/256.
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 4402/108,6564/256?
Given fractions are 4402/108,6564/256
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 4402/108,6564/256, numerators are 4402,6564
Denominators are 108,256
The GCF of 4402,6564 is 2 .
LCM of 108,256 is 6912.
The greatest common factor of 4402/108,6564/256 = [GCF of 4402,6564]/[LCM of 108,256]= 2/6912
Therefore, the GCF of 4402/108,6564/256 is 2/6912.
To find the highest common factor of 4402,6564, we have to find the factors of both numbers and list the highest common factor.
The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402
The factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564
The HCF of 4402,6564 is 2.
Lets's calculate GCF of 4402,6564
| 2 | 4402, 6564 |
| 2201, 3282 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4402,6564 By Matching Biggest Common Factor Method
Now, list down the factors of 4402
:1,2,31,62,71,142,2201,4402
Now, list down the factors of 6564
:1,2,3,4,6,12,547,1094,1641,2188,3282,6564
Greatest Common Factor
We found the factors 4402,6564 . The biggest common factor number is the GCF number.
So the greatest common factor 4402,6564 is 2.
Lets's calculate LCM of 108,256
| 2 | 108, 256 |
| 2 | 54, 128 |
| 27, 64 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 64 = 6912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6912
Therefore, the GCF of Fractions 4402/108,6564/256 is 2/6912
Least Common Multiple of 108,256 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 108,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,256) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(108,256) x common factors =4 x 1 = 4
LCM(108,256) = ( 108 × 256 ) / 4
LCM(108,256) = 27648 / 4
LCM(108,256) = 6912
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FAQs on GCF of Fractions of 4402/108, 6564/256
1. What is the HCF of 4402,6564?
The HCF of 4402,6564 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 4402/108, 6564/256?
Answer: GCF of Numerators as per given numbers 4402/108, 6564/256 is
GCF of Numerators i.e. for 4402,6564 is 2
LCM of denominators i.e. for 108,256 is 6912.
Thus, GCF of Fractions is 2/6912.Finally, GCF of Fractions for 4402/108, 6564/256 is 2/6912.