GCF of 9207/412, 8041/4587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9207/412, 8041/4587 i.e 11/1889844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9207/412, 8041/4587.
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 9207/412,8041/4587?
Given fractions are 9207/412,8041/4587
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 9207/412,8041/4587, numerators are 9207,8041
Denominators are 412,4587
The GCF of 9207,8041 is 11 .
LCM of 412,4587 is 1889844.
The greatest common factor of 9207/412,8041/4587 = [GCF of 9207,8041]/[LCM of 412,4587]= 11/1889844
Therefore, the GCF of 9207/412,8041/4587 is 11/1889844.
To find the highest common factor of 9207,8041, we have to find the factors of both numbers and list the highest common factor.
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041
The HCF of 9207,8041 is 11.
Lets's calculate GCF of 9207,8041
| 11 | 9207, 8041 |
| 837, 731 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9207,8041 By Matching Biggest Common Factor Method
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Now, list down the factors of 8041
:1,11,17,43,187,473,731,8041
Greatest Common Factor
We found the factors 9207,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,8041 is 11.
Lets's calculate LCM of 412,4587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1889844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1889844
Therefore, the GCF of Fractions 9207/412,8041/4587 is 11/1889844
Least Common Multiple of 412,4587 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 412,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,4587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,4587) x common factors =1 x 1 = 1
LCM(412,4587) = ( 412 × 4587 ) / 1
LCM(412,4587) = 1889844 / 1
LCM(412,4587) = 1889844
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FAQs on GCF of Fractions of 9207/412, 8041/4587
1. What is the HCF of 9207,8041?
The HCF of 9207,8041 is 11
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 9207/412, 8041/4587?
Answer: GCF of Numerators as per given numbers 9207/412, 8041/4587 is
GCF of Numerators i.e. for 9207,8041 is 11
LCM of denominators i.e. for 412,4587 is 1889844.
Thus, GCF of Fractions is 11/1889844.Finally, GCF of Fractions for 9207/412, 8041/4587 is 11/1889844.