GCF of 6253/296, 4576/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6253/296, 4576/800 i.e 13/29600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6253/296, 4576/800.
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 6253/296,4576/800?
Given fractions are 6253/296,4576/800
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 6253/296,4576/800, numerators are 6253,4576
Denominators are 296,800
The GCF of 6253,4576 is 13 .
LCM of 296,800 is 29600.
The greatest common factor of 6253/296,4576/800 = [GCF of 6253,4576]/[LCM of 296,800]= 13/29600
Therefore, the GCF of 6253/296,4576/800 is 13/29600.
To find the highest common factor of 6253,4576, we have to find the factors of both numbers and list the highest common factor.
The factors of 6253 are 1, 13, 37, 169, 481, 6253
The factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576
The HCF of 6253,4576 is 13.
Lets's calculate GCF of 6253,4576
| 13 | 6253, 4576 |
| 481, 352 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6253,4576 By Matching Biggest Common Factor Method
Now, list down the factors of 6253
:1,13,37,169,481,6253
Now, list down the factors of 4576
:1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Greatest Common Factor
We found the factors 6253,4576 . The biggest common factor number is the GCF number.
So the greatest common factor 6253,4576 is 13.
Lets's calculate LCM of 296,800
| 2 | 296, 800 |
| 2 | 148, 400 |
| 2 | 74, 200 |
| 37, 100 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 100 = 29600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/29600
Therefore, the GCF of Fractions 6253/296,4576/800 is 13/29600
Least Common Multiple of 296,800 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 296,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,800) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(296,800) x common factors =8 x 1 = 8
LCM(296,800) = ( 296 × 800 ) / 8
LCM(296,800) = 236800 / 8
LCM(296,800) = 29600
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FAQs on GCF of Fractions of 6253/296, 4576/800
1. What is the HCF of 6253,4576?
The HCF of 6253,4576 is 13
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 6253/296, 4576/800?
Answer: GCF of Numerators as per given numbers 6253/296, 4576/800 is
GCF of Numerators i.e. for 6253,4576 is 13
LCM of denominators i.e. for 296,800 is 29600.
Thus, GCF of Fractions is 13/29600.Finally, GCF of Fractions for 6253/296, 4576/800 is 13/29600.