GCF of 8632/825, 9327/2211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8632/825, 9327/2211 i.e 1/55275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8632/825, 9327/2211.
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 8632/825,9327/2211?
Given fractions are 8632/825,9327/2211
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 8632/825,9327/2211, numerators are 8632,9327
Denominators are 825,2211
The GCF of 8632,9327 is 1 .
LCM of 825,2211 is 55275.
The greatest common factor of 8632/825,9327/2211 = [GCF of 8632,9327]/[LCM of 825,2211]= 1/55275
Therefore, the GCF of 8632/825,9327/2211 is 1/55275.
To find the highest common factor of 8632,9327, we have to find the factors of both numbers and list the highest common factor.
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The factors of 9327 are 1, 3, 3109, 9327
The HCF of 8632,9327 is 1.
Lets's calculate GCF of 8632,9327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8632,9327 By Matching Biggest Common Factor Method
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Now, list down the factors of 9327
:1,3,3109,9327
Greatest Common Factor
We found the factors 8632,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 8632,9327 is 1.
Lets's calculate LCM of 825,2211
| 3 | 825, 2211 |
| 11 | 275, 737 |
| 25, 67 |
∴ So the LCM of the given numbers is 3 x 11 x 25 x 67 = 55275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55275
Therefore, the GCF of Fractions 8632/825,9327/2211 is 1/55275
Least Common Multiple of 825,2211 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 825,2211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,2211) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(825,2211) x common factors =33 x 1 = 33
LCM(825,2211) = ( 825 × 2211 ) / 33
LCM(825,2211) = 1824075 / 33
LCM(825,2211) = 55275
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FAQs on GCF of Fractions of 8632/825, 9327/2211
1. What is the HCF of 8632,9327?
The HCF of 8632,9327 is 1
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 8632/825, 9327/2211?
Answer: GCF of Numerators as per given numbers 8632/825, 9327/2211 is
GCF of Numerators i.e. for 8632,9327 is 1
LCM of denominators i.e. for 825,2211 is 55275.
Thus, GCF of Fractions is 1/55275.Finally, GCF of Fractions for 8632/825, 9327/2211 is 1/55275.