GCF of 8676/551, 9225/4732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8676/551, 9225/4732 i.e 9/2607332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8676/551, 9225/4732.
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 8676/551,9225/4732?
Given fractions are 8676/551,9225/4732
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 8676/551,9225/4732, numerators are 8676,9225
Denominators are 551,4732
The GCF of 8676,9225 is 9 .
LCM of 551,4732 is 2607332.
The greatest common factor of 8676/551,9225/4732 = [GCF of 8676,9225]/[LCM of 551,4732]= 9/2607332
Therefore, the GCF of 8676/551,9225/4732 is 9/2607332.
To find the highest common factor of 8676,9225, we have to find the factors of both numbers and list the highest common factor.
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225
The HCF of 8676,9225 is 9.
Lets's calculate GCF of 8676,9225
| 3 | 8676, 9225 |
| 3 | 2892, 3075 |
| 964, 1025 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8676,9225 By Matching Biggest Common Factor Method
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Now, list down the factors of 9225
:1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Greatest Common Factor
We found the factors 8676,9225 . The biggest common factor number is the GCF number.
So the greatest common factor 8676,9225 is 9.
Lets's calculate LCM of 551,4732
Given numbers has no common factors except 1. So, there LCM is their product i.e 2607332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2607332
Therefore, the GCF of Fractions 8676/551,9225/4732 is 9/2607332
Least Common Multiple of 551,4732 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 551,4732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,4732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,4732) x common factors =1 x 1 = 1
LCM(551,4732) = ( 551 × 4732 ) / 1
LCM(551,4732) = 2607332 / 1
LCM(551,4732) = 2607332
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FAQs on GCF of Fractions of 8676/551, 9225/4732
1. What is the HCF of 8676,9225?
The HCF of 8676,9225 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 8676/551, 9225/4732?
Answer: GCF of Numerators as per given numbers 8676/551, 9225/4732 is
GCF of Numerators i.e. for 8676,9225 is 9
LCM of denominators i.e. for 551,4732 is 2607332.
Thus, GCF of Fractions is 9/2607332.Finally, GCF of Fractions for 8676/551, 9225/4732 is 9/2607332.