GCF of 8567/330, 9226/9754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8567/330, 9226/9754 i.e 659/1609410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8567/330, 9226/9754.
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 8567/330,9226/9754?
Given fractions are 8567/330,9226/9754
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 8567/330,9226/9754, numerators are 8567,9226
Denominators are 330,9754
The GCF of 8567,9226 is 659 .
LCM of 330,9754 is 1609410.
The greatest common factor of 8567/330,9226/9754 = [GCF of 8567,9226]/[LCM of 330,9754]= 659/1609410
Therefore, the GCF of 8567/330,9226/9754 is 659/1609410.
To find the highest common factor of 8567,9226, we have to find the factors of both numbers and list the highest common factor.
The factors of 8567 are 1, 13, 659, 8567
The factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226
The HCF of 8567,9226 is 659.
Lets's calculate GCF of 8567,9226
| 659 | 8567, 9226 |
| 13, 14 |
∴ So the GCF of the given numbers is 659 = 659
Greatest Common Factor of 8567,9226 By Matching Biggest Common Factor Method
Now, list down the factors of 8567
:1,13,659,8567
Now, list down the factors of 9226
:1,2,7,14,659,1318,4613,9226
Greatest Common Factor
We found the factors 8567,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 8567,9226 is 659.
Lets's calculate LCM of 330,9754
| 2 | 330, 9754 |
| 165, 4877 |
∴ So the LCM of the given numbers is 2 x 165 x 4877 = 1609410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 659/1609410
Therefore, the GCF of Fractions 8567/330,9226/9754 is 659/1609410
Least Common Multiple of 330,9754 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 330,9754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,9754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,9754) x common factors =2 x 1 = 2
LCM(330,9754) = ( 330 × 9754 ) / 2
LCM(330,9754) = 3218820 / 2
LCM(330,9754) = 1609410
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FAQs on GCF of Fractions of 8567/330, 9226/9754
1. What is the HCF of 8567,9226?
The HCF of 8567,9226 is 659
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 8567/330, 9226/9754?
Answer: GCF of Numerators as per given numbers 8567/330, 9226/9754 is
GCF of Numerators i.e. for 8567,9226 is 659
LCM of denominators i.e. for 330,9754 is 1609410.
Thus, GCF of Fractions is 659/1609410.Finally, GCF of Fractions for 8567/330, 9226/9754 is 659/1609410.