GCF of 5241/932, 8586/6813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5241/932, 8586/6813 i.e 3/6349716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5241/932, 8586/6813.
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 5241/932,8586/6813?
Given fractions are 5241/932,8586/6813
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 5241/932,8586/6813, numerators are 5241,8586
Denominators are 932,6813
The GCF of 5241,8586 is 3 .
LCM of 932,6813 is 6349716.
The greatest common factor of 5241/932,8586/6813 = [GCF of 5241,8586]/[LCM of 932,6813]= 3/6349716
Therefore, the GCF of 5241/932,8586/6813 is 3/6349716.
To find the highest common factor of 5241,8586, we have to find the factors of both numbers and list the highest common factor.
The factors of 5241 are 1, 3, 1747, 5241
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The HCF of 5241,8586 is 3.
Lets's calculate GCF of 5241,8586
| 3 | 5241, 8586 |
| 1747, 2862 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5241,8586 By Matching Biggest Common Factor Method
Now, list down the factors of 5241
:1,3,1747,5241
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Greatest Common Factor
We found the factors 5241,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 5241,8586 is 3.
Lets's calculate LCM of 932,6813
Given numbers has no common factors except 1. So, there LCM is their product i.e 6349716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6349716
Therefore, the GCF of Fractions 5241/932,8586/6813 is 3/6349716
Least Common Multiple of 932,6813 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 932,6813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,6813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,6813) x common factors =1 x 1 = 1
LCM(932,6813) = ( 932 × 6813 ) / 1
LCM(932,6813) = 6349716 / 1
LCM(932,6813) = 6349716
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FAQs on GCF of Fractions of 5241/932, 8586/6813
1. What is the HCF of 5241,8586?
The HCF of 5241,8586 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 5241/932, 8586/6813?
Answer: GCF of Numerators as per given numbers 5241/932, 8586/6813 is
GCF of Numerators i.e. for 5241,8586 is 3
LCM of denominators i.e. for 932,6813 is 6349716.
Thus, GCF of Fractions is 3/6349716.Finally, GCF of Fractions for 5241/932, 8586/6813 is 3/6349716.