GCF of 8667/476, 9564/6751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8667/476, 9564/6751 i.e 3/3213476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8667/476, 9564/6751.
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 8667/476,9564/6751?
Given fractions are 8667/476,9564/6751
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 8667/476,9564/6751, numerators are 8667,9564
Denominators are 476,6751
The GCF of 8667,9564 is 3 .
LCM of 476,6751 is 3213476.
The greatest common factor of 8667/476,9564/6751 = [GCF of 8667,9564]/[LCM of 476,6751]= 3/3213476
Therefore, the GCF of 8667/476,9564/6751 is 3/3213476.
To find the highest common factor of 8667,9564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667
The factors of 9564 are 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564
The HCF of 8667,9564 is 3.
Lets's calculate GCF of 8667,9564
| 3 | 8667, 9564 |
| 2889, 3188 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8667,9564 By Matching Biggest Common Factor Method
Now, list down the factors of 8667
:1,3,9,27,81,107,321,963,2889,8667
Now, list down the factors of 9564
:1,2,3,4,6,12,797,1594,2391,3188,4782,9564
Greatest Common Factor
We found the factors 8667,9564 . The biggest common factor number is the GCF number.
So the greatest common factor 8667,9564 is 3.
Lets's calculate LCM of 476,6751
Given numbers has no common factors except 1. So, there LCM is their product i.e 3213476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3213476
Therefore, the GCF of Fractions 8667/476,9564/6751 is 3/3213476
Least Common Multiple of 476,6751 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 476,6751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,6751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,6751) x common factors =1 x 1 = 1
LCM(476,6751) = ( 476 × 6751 ) / 1
LCM(476,6751) = 3213476 / 1
LCM(476,6751) = 3213476
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FAQs on GCF of Fractions of 8667/476, 9564/6751
1. What is the HCF of 8667,9564?
The HCF of 8667,9564 is 3
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 8667/476, 9564/6751?
Answer: GCF of Numerators as per given numbers 8667/476, 9564/6751 is
GCF of Numerators i.e. for 8667,9564 is 3
LCM of denominators i.e. for 476,6751 is 3213476.
Thus, GCF of Fractions is 3/3213476.Finally, GCF of Fractions for 8667/476, 9564/6751 is 3/3213476.