GCF of 1806/486, 5364/2527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1806/486, 5364/2527 i.e 6/1228122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1806/486, 5364/2527.
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 1806/486,5364/2527?
Given fractions are 1806/486,5364/2527
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 1806/486,5364/2527, numerators are 1806,5364
Denominators are 486,2527
The GCF of 1806,5364 is 6 .
LCM of 486,2527 is 1228122.
The greatest common factor of 1806/486,5364/2527 = [GCF of 1806,5364]/[LCM of 486,2527]= 6/1228122
Therefore, the GCF of 1806/486,5364/2527 is 6/1228122.
To find the highest common factor of 1806,5364, we have to find the factors of both numbers and list the highest common factor.
The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806
The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364
The HCF of 1806,5364 is 6.
Lets's calculate GCF of 1806,5364
| 2 | 1806, 5364 |
| 3 | 903, 2682 |
| 301, 894 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1806,5364 By Matching Biggest Common Factor Method
Now, list down the factors of 1806
:1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806
Now, list down the factors of 5364
:1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Greatest Common Factor
We found the factors 1806,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 1806,5364 is 6.
Lets's calculate LCM of 486,2527
Given numbers has no common factors except 1. So, there LCM is their product i.e 1228122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1228122
Therefore, the GCF of Fractions 1806/486,5364/2527 is 6/1228122
Least Common Multiple of 486,2527 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 486,2527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,2527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,2527) x common factors =1 x 1 = 1
LCM(486,2527) = ( 486 × 2527 ) / 1
LCM(486,2527) = 1228122 / 1
LCM(486,2527) = 1228122
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FAQs on GCF of Fractions of 1806/486, 5364/2527
1. What is the HCF of 1806,5364?
The HCF of 1806,5364 is 6
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 1806/486, 5364/2527?
Answer: GCF of Numerators as per given numbers 1806/486, 5364/2527 is
GCF of Numerators i.e. for 1806,5364 is 6
LCM of denominators i.e. for 486,2527 is 1228122.
Thus, GCF of Fractions is 6/1228122.Finally, GCF of Fractions for 1806/486, 5364/2527 is 6/1228122.