GCF of 2599/122, 8539/2062
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2599/122, 8539/2062 i.e 1/125782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2599/122, 8539/2062.
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 2599/122,8539/2062?
Given fractions are 2599/122,8539/2062
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 2599/122,8539/2062, numerators are 2599,8539
Denominators are 122,2062
The GCF of 2599,8539 is 1 .
LCM of 122,2062 is 125782.
The greatest common factor of 2599/122,8539/2062 = [GCF of 2599,8539]/[LCM of 122,2062]= 1/125782
Therefore, the GCF of 2599/122,8539/2062 is 1/125782.
To find the highest common factor of 2599,8539, we have to find the factors of both numbers and list the highest common factor.
The factors of 2599 are 1, 23, 113, 2599
The factors of 8539 are 1, 8539
The HCF of 2599,8539 is 1.
Lets's calculate GCF of 2599,8539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2599,8539 By Matching Biggest Common Factor Method
Now, list down the factors of 2599
:1,23,113,2599
Now, list down the factors of 8539
:1,8539
Greatest Common Factor
We found the factors 2599,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 2599,8539 is 1.
Lets's calculate LCM of 122,2062
| 2 | 122, 2062 |
| 61, 1031 |
∴ So the LCM of the given numbers is 2 x 61 x 1031 = 125782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125782
Therefore, the GCF of Fractions 2599/122,8539/2062 is 1/125782
Least Common Multiple of 122,2062 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 122,2062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,2062) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,2062) x common factors =2 x 1 = 2
LCM(122,2062) = ( 122 × 2062 ) / 2
LCM(122,2062) = 251564 / 2
LCM(122,2062) = 125782
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FAQs on GCF of Fractions of 2599/122, 8539/2062
1. What is the HCF of 2599,8539?
The HCF of 2599,8539 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 2599/122, 8539/2062?
Answer: GCF of Numerators as per given numbers 2599/122, 8539/2062 is
GCF of Numerators i.e. for 2599,8539 is 1
LCM of denominators i.e. for 122,2062 is 125782.
Thus, GCF of Fractions is 1/125782.Finally, GCF of Fractions for 2599/122, 8539/2062 is 1/125782.