GCF of 6449/832, 7168/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6449/832, 7168/288 i.e 1/7488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6449/832, 7168/288.
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 6449/832,7168/288?
Given fractions are 6449/832,7168/288
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 6449/832,7168/288, numerators are 6449,7168
Denominators are 832,288
The GCF of 6449,7168 is 1 .
LCM of 832,288 is 7488.
The greatest common factor of 6449/832,7168/288 = [GCF of 6449,7168]/[LCM of 832,288]= 1/7488
Therefore, the GCF of 6449/832,7168/288 is 1/7488.
To find the highest common factor of 6449,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 6449 are 1, 6449
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 6449,7168 is 1.
Lets's calculate GCF of 6449,7168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6449,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 6449
:1,6449
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 6449,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 6449,7168 is 1.
Lets's calculate LCM of 832,288
| 2 | 832, 288 |
| 2 | 416, 144 |
| 2 | 208, 72 |
| 2 | 104, 36 |
| 2 | 52, 18 |
| 26, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 26 x 9 = 7488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7488
Therefore, the GCF of Fractions 6449/832,7168/288 is 1/7488
Least Common Multiple of 832,288 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 832,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,288) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(832,288) x common factors =32 x 1 = 32
LCM(832,288) = ( 832 × 288 ) / 32
LCM(832,288) = 239616 / 32
LCM(832,288) = 7488
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FAQs on GCF of Fractions of 6449/832, 7168/288
1. What is the HCF of 6449,7168?
The HCF of 6449,7168 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 6449/832, 7168/288?
Answer: GCF of Numerators as per given numbers 6449/832, 7168/288 is
GCF of Numerators i.e. for 6449,7168 is 1
LCM of denominators i.e. for 832,288 is 7488.
Thus, GCF of Fractions is 1/7488.Finally, GCF of Fractions for 6449/832, 7168/288 is 1/7488.