GCF of 2567/684, 8993/2561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2567/684, 8993/2561 i.e 17/1751724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2567/684, 8993/2561.
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 2567/684,8993/2561?
Given fractions are 2567/684,8993/2561
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 2567/684,8993/2561, numerators are 2567,8993
Denominators are 684,2561
The GCF of 2567,8993 is 17 .
LCM of 684,2561 is 1751724.
The greatest common factor of 2567/684,8993/2561 = [GCF of 2567,8993]/[LCM of 684,2561]= 17/1751724
Therefore, the GCF of 2567/684,8993/2561 is 17/1751724.
To find the highest common factor of 2567,8993, we have to find the factors of both numbers and list the highest common factor.
The factors of 2567 are 1, 17, 151, 2567
The factors of 8993 are 1, 17, 23, 391, 529, 8993
The HCF of 2567,8993 is 17.
Lets's calculate GCF of 2567,8993
| 17 | 2567, 8993 |
| 151, 529 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2567,8993 By Matching Biggest Common Factor Method
Now, list down the factors of 2567
:1,17,151,2567
Now, list down the factors of 8993
:1,17,23,391,529,8993
Greatest Common Factor
We found the factors 2567,8993 . The biggest common factor number is the GCF number.
So the greatest common factor 2567,8993 is 17.
Lets's calculate LCM of 684,2561
Given numbers has no common factors except 1. So, there LCM is their product i.e 1751724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1751724
Therefore, the GCF of Fractions 2567/684,8993/2561 is 17/1751724
Least Common Multiple of 684,2561 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 684,2561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,2561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,2561) x common factors =1 x 1 = 1
LCM(684,2561) = ( 684 × 2561 ) / 1
LCM(684,2561) = 1751724 / 1
LCM(684,2561) = 1751724
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FAQs on GCF of Fractions of 2567/684, 8993/2561
1. What is the HCF of 2567,8993?
The HCF of 2567,8993 is 17
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 2567/684, 8993/2561?
Answer: GCF of Numerators as per given numbers 2567/684, 8993/2561 is
GCF of Numerators i.e. for 2567,8993 is 17
LCM of denominators i.e. for 684,2561 is 1751724.
Thus, GCF of Fractions is 17/1751724.Finally, GCF of Fractions for 2567/684, 8993/2561 is 17/1751724.