GCF of 8694/464, 7551/459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8694/464, 7551/459 i.e 9/212976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8694/464, 7551/459.
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 8694/464,7551/459?
Given fractions are 8694/464,7551/459
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 8694/464,7551/459, numerators are 8694,7551
Denominators are 464,459
The GCF of 8694,7551 is 9 .
LCM of 464,459 is 212976.
The greatest common factor of 8694/464,7551/459 = [GCF of 8694,7551]/[LCM of 464,459]= 9/212976
Therefore, the GCF of 8694/464,7551/459 is 9/212976.
To find the highest common factor of 8694,7551, we have to find the factors of both numbers and list the highest common factor.
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The factors of 7551 are 1, 3, 9, 839, 2517, 7551
The HCF of 8694,7551 is 9.
Lets's calculate GCF of 8694,7551
| 3 | 8694, 7551 |
| 3 | 2898, 2517 |
| 966, 839 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8694,7551 By Matching Biggest Common Factor Method
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Now, list down the factors of 7551
:1,3,9,839,2517,7551
Greatest Common Factor
We found the factors 8694,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 8694,7551 is 9.
Lets's calculate LCM of 464,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 212976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/212976
Therefore, the GCF of Fractions 8694/464,7551/459 is 9/212976
Least Common Multiple of 464,459 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 464,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,459) x common factors =1 x 1 = 1
LCM(464,459) = ( 464 × 459 ) / 1
LCM(464,459) = 212976 / 1
LCM(464,459) = 212976
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8694/464, 7551/459
1. What is the HCF of 8694,7551?
The HCF of 8694,7551 is 9
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 8694/464, 7551/459?
Answer: GCF of Numerators as per given numbers 8694/464, 7551/459 is
GCF of Numerators i.e. for 8694,7551 is 9
LCM of denominators i.e. for 464,459 is 212976.
Thus, GCF of Fractions is 9/212976.Finally, GCF of Fractions for 8694/464, 7551/459 is 9/212976.