GCF of 5157/158, 4041/6731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5157/158, 4041/6731 i.e 9/1063498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5157/158, 4041/6731.
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 5157/158,4041/6731?
Given fractions are 5157/158,4041/6731
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 5157/158,4041/6731, numerators are 5157,4041
Denominators are 158,6731
The GCF of 5157,4041 is 9 .
LCM of 158,6731 is 1063498.
The greatest common factor of 5157/158,4041/6731 = [GCF of 5157,4041]/[LCM of 158,6731]= 9/1063498
Therefore, the GCF of 5157/158,4041/6731 is 9/1063498.
To find the highest common factor of 5157,4041, we have to find the factors of both numbers and list the highest common factor.
The factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157
The factors of 4041 are 1, 3, 9, 449, 1347, 4041
The HCF of 5157,4041 is 9.
Lets's calculate GCF of 5157,4041
| 3 | 5157, 4041 |
| 3 | 1719, 1347 |
| 573, 449 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5157,4041 By Matching Biggest Common Factor Method
Now, list down the factors of 5157
:1,3,9,27,191,573,1719,5157
Now, list down the factors of 4041
:1,3,9,449,1347,4041
Greatest Common Factor
We found the factors 5157,4041 . The biggest common factor number is the GCF number.
So the greatest common factor 5157,4041 is 9.
Lets's calculate LCM of 158,6731
Given numbers has no common factors except 1. So, there LCM is their product i.e 1063498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1063498
Therefore, the GCF of Fractions 5157/158,4041/6731 is 9/1063498
Least Common Multiple of 158,6731 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 158,6731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,6731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,6731) x common factors =1 x 1 = 1
LCM(158,6731) = ( 158 × 6731 ) / 1
LCM(158,6731) = 1063498 / 1
LCM(158,6731) = 1063498
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FAQs on GCF of Fractions of 5157/158, 4041/6731
1. What is the HCF of 5157,4041?
The HCF of 5157,4041 is 9
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 5157/158, 4041/6731?
Answer: GCF of Numerators as per given numbers 5157/158, 4041/6731 is
GCF of Numerators i.e. for 5157,4041 is 9
LCM of denominators i.e. for 158,6731 is 1063498.
Thus, GCF of Fractions is 9/1063498.Finally, GCF of Fractions for 5157/158, 4041/6731 is 9/1063498.