GCF of 2613/921, 9544/1569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2613/921, 9544/1569 i.e 1/481683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2613/921, 9544/1569.
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 2613/921,9544/1569?
Given fractions are 2613/921,9544/1569
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 2613/921,9544/1569, numerators are 2613,9544
Denominators are 921,1569
The GCF of 2613,9544 is 1 .
LCM of 921,1569 is 481683.
The greatest common factor of 2613/921,9544/1569 = [GCF of 2613,9544]/[LCM of 921,1569]= 1/481683
Therefore, the GCF of 2613/921,9544/1569 is 1/481683.
To find the highest common factor of 2613,9544, we have to find the factors of both numbers and list the highest common factor.
The factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613
The factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544
The HCF of 2613,9544 is 1.
Lets's calculate GCF of 2613,9544
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2613,9544 By Matching Biggest Common Factor Method
Now, list down the factors of 2613
:1,3,13,39,67,201,871,2613
Now, list down the factors of 9544
:1,2,4,8,1193,2386,4772,9544
Greatest Common Factor
We found the factors 2613,9544 . The biggest common factor number is the GCF number.
So the greatest common factor 2613,9544 is 1.
Lets's calculate LCM of 921,1569
| 3 | 921, 1569 |
| 307, 523 |
∴ So the LCM of the given numbers is 3 x 307 x 523 = 481683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481683
Therefore, the GCF of Fractions 2613/921,9544/1569 is 1/481683
Least Common Multiple of 921,1569 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 921,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,1569) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,1569) x common factors =3 x 1 = 3
LCM(921,1569) = ( 921 × 1569 ) / 3
LCM(921,1569) = 1445049 / 3
LCM(921,1569) = 481683
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FAQs on GCF of Fractions of 2613/921, 9544/1569
1. What is the HCF of 2613,9544?
The HCF of 2613,9544 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 2613/921, 9544/1569?
Answer: GCF of Numerators as per given numbers 2613/921, 9544/1569 is
GCF of Numerators i.e. for 2613,9544 is 1
LCM of denominators i.e. for 921,1569 is 481683.
Thus, GCF of Fractions is 1/481683.Finally, GCF of Fractions for 2613/921, 9544/1569 is 1/481683.