GCF of 8225/981, 7574/8592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8225/981, 7574/8592 i.e 7/2809584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8225/981, 7574/8592.
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 8225/981,7574/8592?
Given fractions are 8225/981,7574/8592
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 8225/981,7574/8592, numerators are 8225,7574
Denominators are 981,8592
The GCF of 8225,7574 is 7 .
LCM of 981,8592 is 2809584.
The greatest common factor of 8225/981,7574/8592 = [GCF of 8225,7574]/[LCM of 981,8592]= 7/2809584
Therefore, the GCF of 8225/981,7574/8592 is 7/2809584.
To find the highest common factor of 8225,7574, we have to find the factors of both numbers and list the highest common factor.
The factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225
The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574
The HCF of 8225,7574 is 7.
Lets's calculate GCF of 8225,7574
| 7 | 8225, 7574 |
| 1175, 1082 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8225,7574 By Matching Biggest Common Factor Method
Now, list down the factors of 8225
:1,5,7,25,35,47,175,235,329,1175,1645,8225
Now, list down the factors of 7574
:1,2,7,14,541,1082,3787,7574
Greatest Common Factor
We found the factors 8225,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 8225,7574 is 7.
Lets's calculate LCM of 981,8592
| 3 | 981, 8592 |
| 327, 2864 |
∴ So the LCM of the given numbers is 3 x 327 x 2864 = 2809584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2809584
Therefore, the GCF of Fractions 8225/981,7574/8592 is 7/2809584
Least Common Multiple of 981,8592 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 981,8592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,8592) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(981,8592) x common factors =3 x 1 = 3
LCM(981,8592) = ( 981 × 8592 ) / 3
LCM(981,8592) = 8428752 / 3
LCM(981,8592) = 2809584
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8225/981, 7574/8592
1. What is the HCF of 8225,7574?
The HCF of 8225,7574 is 7
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 8225/981, 7574/8592?
Answer: GCF of Numerators as per given numbers 8225/981, 7574/8592 is
GCF of Numerators i.e. for 8225,7574 is 7
LCM of denominators i.e. for 981,8592 is 2809584.
Thus, GCF of Fractions is 7/2809584.Finally, GCF of Fractions for 8225/981, 7574/8592 is 7/2809584.