GCF of 2639/822, 3797/3589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2639/822, 3797/3589 i.e 1/2950158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2639/822, 3797/3589.
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 2639/822,3797/3589?
Given fractions are 2639/822,3797/3589
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 2639/822,3797/3589, numerators are 2639,3797
Denominators are 822,3589
The GCF of 2639,3797 is 1 .
LCM of 822,3589 is 2950158.
The greatest common factor of 2639/822,3797/3589 = [GCF of 2639,3797]/[LCM of 822,3589]= 1/2950158
Therefore, the GCF of 2639/822,3797/3589 is 1/2950158.
To find the highest common factor of 2639,3797, we have to find the factors of both numbers and list the highest common factor.
The factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639
The factors of 3797 are 1, 3797
The HCF of 2639,3797 is 1.
Lets's calculate GCF of 2639,3797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2639,3797 By Matching Biggest Common Factor Method
Now, list down the factors of 2639
:1,7,13,29,91,203,377,2639
Now, list down the factors of 3797
:1,3797
Greatest Common Factor
We found the factors 2639,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 2639,3797 is 1.
Lets's calculate LCM of 822,3589
Given numbers has no common factors except 1. So, there LCM is their product i.e 2950158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2950158
Therefore, the GCF of Fractions 2639/822,3797/3589 is 1/2950158
Least Common Multiple of 822,3589 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 822,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,3589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,3589) x common factors =1 x 1 = 1
LCM(822,3589) = ( 822 × 3589 ) / 1
LCM(822,3589) = 2950158 / 1
LCM(822,3589) = 2950158
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2639/822, 3797/3589
1. What is the HCF of 2639,3797?
The HCF of 2639,3797 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 2639/822, 3797/3589?
Answer: GCF of Numerators as per given numbers 2639/822, 3797/3589 is
GCF of Numerators i.e. for 2639,3797 is 1
LCM of denominators i.e. for 822,3589 is 2950158.
Thus, GCF of Fractions is 1/2950158.Finally, GCF of Fractions for 2639/822, 3797/3589 is 1/2950158.