GCF of 2726/408, 5767/2485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2726/408, 5767/2485 i.e 1/1013880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2726/408, 5767/2485.
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 2726/408,5767/2485?
Given fractions are 2726/408,5767/2485
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 2726/408,5767/2485, numerators are 2726,5767
Denominators are 408,2485
The GCF of 2726,5767 is 1 .
LCM of 408,2485 is 1013880.
The greatest common factor of 2726/408,5767/2485 = [GCF of 2726,5767]/[LCM of 408,2485]= 1/1013880
Therefore, the GCF of 2726/408,5767/2485 is 1/1013880.
To find the highest common factor of 2726,5767, we have to find the factors of both numbers and list the highest common factor.
The factors of 2726 are 1, 2, 29, 47, 58, 94, 1363, 2726
The factors of 5767 are 1, 73, 79, 5767
The HCF of 2726,5767 is 1.
Lets's calculate GCF of 2726,5767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2726,5767 By Matching Biggest Common Factor Method
Now, list down the factors of 2726
:1,2,29,47,58,94,1363,2726
Now, list down the factors of 5767
:1,73,79,5767
Greatest Common Factor
We found the factors 2726,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 2726,5767 is 1.
Lets's calculate LCM of 408,2485
Given numbers has no common factors except 1. So, there LCM is their product i.e 1013880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1013880
Therefore, the GCF of Fractions 2726/408,5767/2485 is 1/1013880
Least Common Multiple of 408,2485 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 408,2485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,2485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,2485) x common factors =1 x 1 = 1
LCM(408,2485) = ( 408 × 2485 ) / 1
LCM(408,2485) = 1013880 / 1
LCM(408,2485) = 1013880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2726/408, 5767/2485
1. What is the HCF of 2726,5767?
The HCF of 2726,5767 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 2726/408, 5767/2485?
Answer: GCF of Numerators as per given numbers 2726/408, 5767/2485 is
GCF of Numerators i.e. for 2726,5767 is 1
LCM of denominators i.e. for 408,2485 is 1013880.
Thus, GCF of Fractions is 1/1013880.Finally, GCF of Fractions for 2726/408, 5767/2485 is 1/1013880.