GCF of 8409/387, 6767/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8409/387, 6767/825 i.e 1/106425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8409/387, 6767/825.
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 8409/387,6767/825?
Given fractions are 8409/387,6767/825
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 8409/387,6767/825, numerators are 8409,6767
Denominators are 387,825
The GCF of 8409,6767 is 1 .
LCM of 387,825 is 106425.
The greatest common factor of 8409/387,6767/825 = [GCF of 8409,6767]/[LCM of 387,825]= 1/106425
Therefore, the GCF of 8409/387,6767/825 is 1/106425.
To find the highest common factor of 8409,6767, we have to find the factors of both numbers and list the highest common factor.
The factors of 8409 are 1, 3, 2803, 8409
The factors of 6767 are 1, 67, 101, 6767
The HCF of 8409,6767 is 1.
Lets's calculate GCF of 8409,6767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8409,6767 By Matching Biggest Common Factor Method
Now, list down the factors of 8409
:1,3,2803,8409
Now, list down the factors of 6767
:1,67,101,6767
Greatest Common Factor
We found the factors 8409,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 8409,6767 is 1.
Lets's calculate LCM of 387,825
| 3 | 387, 825 |
| 129, 275 |
∴ So the LCM of the given numbers is 3 x 129 x 275 = 106425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106425
Therefore, the GCF of Fractions 8409/387,6767/825 is 1/106425
Least Common Multiple of 387,825 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 387,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(387,825) x common factors =3 x 1 = 3
LCM(387,825) = ( 387 × 825 ) / 3
LCM(387,825) = 319275 / 3
LCM(387,825) = 106425
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FAQs on GCF of Fractions of 8409/387, 6767/825
1. What is the HCF of 8409,6767?
The HCF of 8409,6767 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 8409/387, 6767/825?
Answer: GCF of Numerators as per given numbers 8409/387, 6767/825 is
GCF of Numerators i.e. for 8409,6767 is 1
LCM of denominators i.e. for 387,825 is 106425.
Thus, GCF of Fractions is 1/106425.Finally, GCF of Fractions for 8409/387, 6767/825 is 1/106425.