GCF of 2621/699, 5889/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2621/699, 5889/8109 i.e 1/1889397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2621/699, 5889/8109.
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 2621/699,5889/8109?
Given fractions are 2621/699,5889/8109
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 2621/699,5889/8109, numerators are 2621,5889
Denominators are 699,8109
The GCF of 2621,5889 is 1 .
LCM of 699,8109 is 1889397.
The greatest common factor of 2621/699,5889/8109 = [GCF of 2621,5889]/[LCM of 699,8109]= 1/1889397
Therefore, the GCF of 2621/699,5889/8109 is 1/1889397.
To find the highest common factor of 2621,5889, we have to find the factors of both numbers and list the highest common factor.
The factors of 2621 are 1, 2621
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The HCF of 2621,5889 is 1.
Lets's calculate GCF of 2621,5889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2621,5889 By Matching Biggest Common Factor Method
Now, list down the factors of 2621
:1,2621
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 2621,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 2621,5889 is 1.
Lets's calculate LCM of 699,8109
| 3 | 699, 8109 |
| 233, 2703 |
∴ So the LCM of the given numbers is 3 x 233 x 2703 = 1889397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1889397
Therefore, the GCF of Fractions 2621/699,5889/8109 is 1/1889397
Least Common Multiple of 699,8109 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 699,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,8109) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,8109) x common factors =3 x 1 = 3
LCM(699,8109) = ( 699 × 8109 ) / 3
LCM(699,8109) = 5668191 / 3
LCM(699,8109) = 1889397
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FAQs on GCF of Fractions of 2621/699, 5889/8109
1. What is the HCF of 2621,5889?
The HCF of 2621,5889 is 1
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 2621/699, 5889/8109?
Answer: GCF of Numerators as per given numbers 2621/699, 5889/8109 is
GCF of Numerators i.e. for 2621,5889 is 1
LCM of denominators i.e. for 699,8109 is 1889397.
Thus, GCF of Fractions is 1/1889397.Finally, GCF of Fractions for 2621/699, 5889/8109 is 1/1889397.