GCF of 6613/810, 9604/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6613/810, 9604/873 i.e 1/78570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6613/810, 9604/873.
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 6613/810,9604/873?
Given fractions are 6613/810,9604/873
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 6613/810,9604/873, numerators are 6613,9604
Denominators are 810,873
The GCF of 6613,9604 is 1 .
LCM of 810,873 is 78570.
The greatest common factor of 6613/810,9604/873 = [GCF of 6613,9604]/[LCM of 810,873]= 1/78570
Therefore, the GCF of 6613/810,9604/873 is 1/78570.
To find the highest common factor of 6613,9604, we have to find the factors of both numbers and list the highest common factor.
The factors of 6613 are 1, 17, 389, 6613
The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604
The HCF of 6613,9604 is 1.
Lets's calculate GCF of 6613,9604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6613,9604 By Matching Biggest Common Factor Method
Now, list down the factors of 6613
:1,17,389,6613
Now, list down the factors of 9604
:1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604
Greatest Common Factor
We found the factors 6613,9604 . The biggest common factor number is the GCF number.
So the greatest common factor 6613,9604 is 1.
Lets's calculate LCM of 810,873
| 3 | 810, 873 |
| 3 | 270, 291 |
| 90, 97 |
∴ So the LCM of the given numbers is 3 x 3 x 90 x 97 = 78570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78570
Therefore, the GCF of Fractions 6613/810,9604/873 is 1/78570
Least Common Multiple of 810,873 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 810,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,873) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(810,873) x common factors =9 x 1 = 9
LCM(810,873) = ( 810 × 873 ) / 9
LCM(810,873) = 707130 / 9
LCM(810,873) = 78570
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FAQs on GCF of Fractions of 6613/810, 9604/873
1. What is the HCF of 6613,9604?
The HCF of 6613,9604 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 6613/810, 9604/873?
Answer: GCF of Numerators as per given numbers 6613/810, 9604/873 is
GCF of Numerators i.e. for 6613,9604 is 1
LCM of denominators i.e. for 810,873 is 78570.
Thus, GCF of Fractions is 1/78570.Finally, GCF of Fractions for 6613/810, 9604/873 is 1/78570.