GCF of 6873/431, 7290/5163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6873/431, 7290/5163 i.e 3/2225253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6873/431, 7290/5163.
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 6873/431,7290/5163?
Given fractions are 6873/431,7290/5163
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 6873/431,7290/5163, numerators are 6873,7290
Denominators are 431,5163
The GCF of 6873,7290 is 3 .
LCM of 431,5163 is 2225253.
The greatest common factor of 6873/431,7290/5163 = [GCF of 6873,7290]/[LCM of 431,5163]= 3/2225253
Therefore, the GCF of 6873/431,7290/5163 is 3/2225253.
To find the highest common factor of 6873,7290, we have to find the factors of both numbers and list the highest common factor.
The factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873
The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290
The HCF of 6873,7290 is 3.
Lets's calculate GCF of 6873,7290
| 3 | 6873, 7290 |
| 2291, 2430 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6873,7290 By Matching Biggest Common Factor Method
Now, list down the factors of 6873
:1,3,29,79,87,237,2291,6873
Now, list down the factors of 7290
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Greatest Common Factor
We found the factors 6873,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 6873,7290 is 3.
Lets's calculate LCM of 431,5163
Given numbers has no common factors except 1. So, there LCM is their product i.e 2225253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2225253
Therefore, the GCF of Fractions 6873/431,7290/5163 is 3/2225253
Least Common Multiple of 431,5163 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 431,5163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,5163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,5163) x common factors =1 x 1 = 1
LCM(431,5163) = ( 431 × 5163 ) / 1
LCM(431,5163) = 2225253 / 1
LCM(431,5163) = 2225253
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FAQs on GCF of Fractions of 6873/431, 7290/5163
1. What is the HCF of 6873,7290?
The HCF of 6873,7290 is 3
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 6873/431, 7290/5163?
Answer: GCF of Numerators as per given numbers 6873/431, 7290/5163 is
GCF of Numerators i.e. for 6873,7290 is 3
LCM of denominators i.e. for 431,5163 is 2225253.
Thus, GCF of Fractions is 3/2225253.Finally, GCF of Fractions for 6873/431, 7290/5163 is 3/2225253.