Use our free GCF of Fractions Calculator tool to compute the GCF of 496/822, 9408/896 i.e 16/368256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 496/822, 9408/896.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/822,9408/896
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 496/822,9408/896, numerators are 496,9408
Denominators are 822,896
The GCF of 496,9408 is 16 .
LCM of 822,896 is 368256.
The greatest common factor of 496/822,9408/896 = [GCF of 496,9408]/[LCM of 822,896]= 16/368256
Therefore, the GCF of 496/822,9408/896 is 16/368256.
To find the highest common factor of 496,9408, we have to find the factors of both numbers and list the highest common factor.
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The factors of 9408 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 147, 168, 192, 196, 224, 294, 336, 392, 448, 588, 672, 784, 1176, 1344, 1568, 2352, 3136, 4704, 9408
The HCF of 496,9408 is 16.
Lets's calculate GCF of 496,9408
2 | 496, 9408 |
2 | 248, 4704 |
2 | 124, 2352 |
2 | 62, 1176 |
31, 588 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Now, list down the factors of 9408
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408
Greatest Common Factor
We found the factors 496,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 496,9408 is 16.
Lets's calculate LCM of 822,896
2 | 822, 896 |
411, 448 |
∴ So the LCM of the given numbers is 2 x 411 x 448 = 368256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/368256
Therefore, the GCF of Fractions 496/822,9408/896 is 16/368256
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 822,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,896) x common factors =2 x 1 = 2
LCM(822,896) = ( 822 × 896 ) / 2
LCM(822,896) = 736512 / 2
LCM(822,896) = 368256
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 496,9408?
The HCF of 496,9408 is 16
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 496/822, 9408/896?
Answer: GCF of Numerators as per given numbers 496/822, 9408/896 is
GCF of Numerators i.e. for 496,9408 is 16
LCM of denominators i.e. for 822,896 is 368256.
Thus, GCF of Fractions is 16/368256.Finally, GCF of Fractions for 496/822, 9408/896 is 16/368256.