GCF of 2740/928, 8905/2589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2740/928, 8905/2589 i.e 685/2402592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2740/928, 8905/2589.
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 2740/928,8905/2589?
Given fractions are 2740/928,8905/2589
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 2740/928,8905/2589, numerators are 2740,8905
Denominators are 928,2589
The GCF of 2740,8905 is 685 .
LCM of 928,2589 is 2402592.
The greatest common factor of 2740/928,8905/2589 = [GCF of 2740,8905]/[LCM of 928,2589]= 685/2402592
Therefore, the GCF of 2740/928,8905/2589 is 685/2402592.
To find the highest common factor of 2740,8905, we have to find the factors of both numbers and list the highest common factor.
The factors of 2740 are 1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370, 2740
The factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905
The HCF of 2740,8905 is 685.
Lets's calculate GCF of 2740,8905
| 5 | 2740, 8905 |
| 137 | 548, 1781 |
| 4, 13 |
∴ So the GCF of the given numbers is 5 x 137 = 685
Greatest Common Factor of 2740,8905 By Matching Biggest Common Factor Method
Now, list down the factors of 2740
:1,2,4,5,10,20,137,274,548,685,1370,2740
Now, list down the factors of 8905
:1,5,13,65,137,685,1781,8905
Greatest Common Factor
We found the factors 2740,8905 . The biggest common factor number is the GCF number.
So the greatest common factor 2740,8905 is 685.
Lets's calculate LCM of 928,2589
Given numbers has no common factors except 1. So, there LCM is their product i.e 2402592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 685/2402592
Therefore, the GCF of Fractions 2740/928,8905/2589 is 685/2402592
Least Common Multiple of 928,2589 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 928,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,2589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,2589) x common factors =1 x 1 = 1
LCM(928,2589) = ( 928 × 2589 ) / 1
LCM(928,2589) = 2402592 / 1
LCM(928,2589) = 2402592
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FAQs on GCF of Fractions of 2740/928, 8905/2589
1. What is the HCF of 2740,8905?
The HCF of 2740,8905 is 685
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 2740/928, 8905/2589?
Answer: GCF of Numerators as per given numbers 2740/928, 8905/2589 is
GCF of Numerators i.e. for 2740,8905 is 685
LCM of denominators i.e. for 928,2589 is 2402592.
Thus, GCF of Fractions is 685/2402592.Finally, GCF of Fractions for 2740/928, 8905/2589 is 685/2402592.