GCF of 2866/829, 4664/2529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2866/829, 4664/2529 i.e 2/2096541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2866/829, 4664/2529.
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 2866/829,4664/2529?
Given fractions are 2866/829,4664/2529
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 2866/829,4664/2529, numerators are 2866,4664
Denominators are 829,2529
The GCF of 2866,4664 is 2 .
LCM of 829,2529 is 2096541.
The greatest common factor of 2866/829,4664/2529 = [GCF of 2866,4664]/[LCM of 829,2529]= 2/2096541
Therefore, the GCF of 2866/829,4664/2529 is 2/2096541.
To find the highest common factor of 2866,4664, we have to find the factors of both numbers and list the highest common factor.
The factors of 2866 are 1, 2, 1433, 2866
The factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664
The HCF of 2866,4664 is 2.
Lets's calculate GCF of 2866,4664
| 2 | 2866, 4664 |
| 1433, 2332 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2866,4664 By Matching Biggest Common Factor Method
Now, list down the factors of 2866
:1,2,1433,2866
Now, list down the factors of 4664
:1,2,4,8,11,22,44,53,88,106,212,424,583,1166,2332,4664
Greatest Common Factor
We found the factors 2866,4664 . The biggest common factor number is the GCF number.
So the greatest common factor 2866,4664 is 2.
Lets's calculate LCM of 829,2529
Given numbers has no common factors except 1. So, there LCM is their product i.e 2096541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2096541
Therefore, the GCF of Fractions 2866/829,4664/2529 is 2/2096541
Least Common Multiple of 829,2529 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 829,2529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,2529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,2529) x common factors =1 x 1 = 1
LCM(829,2529) = ( 829 × 2529 ) / 1
LCM(829,2529) = 2096541 / 1
LCM(829,2529) = 2096541
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FAQs on GCF of Fractions of 2866/829, 4664/2529
1. What is the HCF of 2866,4664?
The HCF of 2866,4664 is 2
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 2866/829, 4664/2529?
Answer: GCF of Numerators as per given numbers 2866/829, 4664/2529 is
GCF of Numerators i.e. for 2866,4664 is 2
LCM of denominators i.e. for 829,2529 is 2096541.
Thus, GCF of Fractions is 2/2096541.Finally, GCF of Fractions for 2866/829, 4664/2529 is 2/2096541.