GCF of 6815/832, 7569/5406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6815/832, 7569/5406 i.e 29/2248896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6815/832, 7569/5406.
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 6815/832,7569/5406?
Given fractions are 6815/832,7569/5406
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 6815/832,7569/5406, numerators are 6815,7569
Denominators are 832,5406
The GCF of 6815,7569 is 29 .
LCM of 832,5406 is 2248896.
The greatest common factor of 6815/832,7569/5406 = [GCF of 6815,7569]/[LCM of 832,5406]= 29/2248896
Therefore, the GCF of 6815/832,7569/5406 is 29/2248896.
To find the highest common factor of 6815,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 6815,7569 is 29.
Lets's calculate GCF of 6815,7569
| 29 | 6815, 7569 |
| 235, 261 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 6815,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 6815
:1,5,29,47,145,235,1363,6815
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 6815,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 6815,7569 is 29.
Lets's calculate LCM of 832,5406
| 2 | 832, 5406 |
| 416, 2703 |
∴ So the LCM of the given numbers is 2 x 416 x 2703 = 2248896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2248896
Therefore, the GCF of Fractions 6815/832,7569/5406 is 29/2248896
Least Common Multiple of 832,5406 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 832,5406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,5406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,5406) x common factors =2 x 1 = 2
LCM(832,5406) = ( 832 × 5406 ) / 2
LCM(832,5406) = 4497792 / 2
LCM(832,5406) = 2248896
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6815/832, 7569/5406
1. What is the HCF of 6815,7569?
The HCF of 6815,7569 is 29
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 6815/832, 7569/5406?
Answer: GCF of Numerators as per given numbers 6815/832, 7569/5406 is
GCF of Numerators i.e. for 6815,7569 is 29
LCM of denominators i.e. for 832,5406 is 2248896.
Thus, GCF of Fractions is 29/2248896.Finally, GCF of Fractions for 6815/832, 7569/5406 is 29/2248896.