GCF of 5868/289, 5661/8161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5868/289, 5661/8161 i.e 9/2358529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5868/289, 5661/8161.
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 5868/289,5661/8161?
Given fractions are 5868/289,5661/8161
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 5868/289,5661/8161, numerators are 5868,5661
Denominators are 289,8161
The GCF of 5868,5661 is 9 .
LCM of 289,8161 is 2358529.
The greatest common factor of 5868/289,5661/8161 = [GCF of 5868,5661]/[LCM of 289,8161]= 9/2358529
Therefore, the GCF of 5868/289,5661/8161 is 9/2358529.
To find the highest common factor of 5868,5661, we have to find the factors of both numbers and list the highest common factor.
The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868
The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661
The HCF of 5868,5661 is 9.
Lets's calculate GCF of 5868,5661
| 3 | 5868, 5661 |
| 3 | 1956, 1887 |
| 652, 629 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5868,5661 By Matching Biggest Common Factor Method
Now, list down the factors of 5868
:1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Now, list down the factors of 5661
:1,3,9,17,37,51,111,153,333,629,1887,5661
Greatest Common Factor
We found the factors 5868,5661 . The biggest common factor number is the GCF number.
So the greatest common factor 5868,5661 is 9.
Lets's calculate LCM of 289,8161
Given numbers has no common factors except 1. So, there LCM is their product i.e 2358529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2358529
Therefore, the GCF of Fractions 5868/289,5661/8161 is 9/2358529
Least Common Multiple of 289,8161 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 289,8161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,8161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,8161) x common factors =1 x 1 = 1
LCM(289,8161) = ( 289 × 8161 ) / 1
LCM(289,8161) = 2358529 / 1
LCM(289,8161) = 2358529
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FAQs on GCF of Fractions of 5868/289, 5661/8161
1. What is the HCF of 5868,5661?
The HCF of 5868,5661 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 5868/289, 5661/8161?
Answer: GCF of Numerators as per given numbers 5868/289, 5661/8161 is
GCF of Numerators i.e. for 5868,5661 is 9
LCM of denominators i.e. for 289,8161 is 2358529.
Thus, GCF of Fractions is 9/2358529.Finally, GCF of Fractions for 5868/289, 5661/8161 is 9/2358529.