GCF of 5057/397, 7163/2247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5057/397, 7163/2247 i.e 13/892059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5057/397, 7163/2247.
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 5057/397,7163/2247?
Given fractions are 5057/397,7163/2247
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 5057/397,7163/2247, numerators are 5057,7163
Denominators are 397,2247
The GCF of 5057,7163 is 13 .
LCM of 397,2247 is 892059.
The greatest common factor of 5057/397,7163/2247 = [GCF of 5057,7163]/[LCM of 397,2247]= 13/892059
Therefore, the GCF of 5057/397,7163/2247 is 13/892059.
To find the highest common factor of 5057,7163, we have to find the factors of both numbers and list the highest common factor.
The factors of 5057 are 1, 13, 389, 5057
The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163
The HCF of 5057,7163 is 13.
Lets's calculate GCF of 5057,7163
| 13 | 5057, 7163 |
| 389, 551 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5057,7163 By Matching Biggest Common Factor Method
Now, list down the factors of 5057
:1,13,389,5057
Now, list down the factors of 7163
:1,13,19,29,247,377,551,7163
Greatest Common Factor
We found the factors 5057,7163 . The biggest common factor number is the GCF number.
So the greatest common factor 5057,7163 is 13.
Lets's calculate LCM of 397,2247
Given numbers has no common factors except 1. So, there LCM is their product i.e 892059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/892059
Therefore, the GCF of Fractions 5057/397,7163/2247 is 13/892059
Least Common Multiple of 397,2247 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 397,2247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,2247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,2247) x common factors =1 x 1 = 1
LCM(397,2247) = ( 397 × 2247 ) / 1
LCM(397,2247) = 892059 / 1
LCM(397,2247) = 892059
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FAQs on GCF of Fractions of 5057/397, 7163/2247
1. What is the HCF of 5057,7163?
The HCF of 5057,7163 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 5057/397, 7163/2247?
Answer: GCF of Numerators as per given numbers 5057/397, 7163/2247 is
GCF of Numerators i.e. for 5057,7163 is 13
LCM of denominators i.e. for 397,2247 is 892059.
Thus, GCF of Fractions is 13/892059.Finally, GCF of Fractions for 5057/397, 7163/2247 is 13/892059.