GCF of 9427/205, 6369/371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9427/205, 6369/371 i.e 11/76055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9427/205, 6369/371.
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 9427/205,6369/371?
Given fractions are 9427/205,6369/371
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 9427/205,6369/371, numerators are 9427,6369
Denominators are 205,371
The GCF of 9427,6369 is 11 .
LCM of 205,371 is 76055.
The greatest common factor of 9427/205,6369/371 = [GCF of 9427,6369]/[LCM of 205,371]= 11/76055
Therefore, the GCF of 9427/205,6369/371 is 11/76055.
To find the highest common factor of 9427,6369, we have to find the factors of both numbers and list the highest common factor.
The factors of 9427 are 1, 11, 857, 9427
The factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369
The HCF of 9427,6369 is 11.
Lets's calculate GCF of 9427,6369
| 11 | 9427, 6369 |
| 857, 579 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9427,6369 By Matching Biggest Common Factor Method
Now, list down the factors of 9427
:1,11,857,9427
Now, list down the factors of 6369
:1,3,11,33,193,579,2123,6369
Greatest Common Factor
We found the factors 9427,6369 . The biggest common factor number is the GCF number.
So the greatest common factor 9427,6369 is 11.
Lets's calculate LCM of 205,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 76055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/76055
Therefore, the GCF of Fractions 9427/205,6369/371 is 11/76055
Least Common Multiple of 205,371 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 205,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,371) x common factors =1 x 1 = 1
LCM(205,371) = ( 205 × 371 ) / 1
LCM(205,371) = 76055 / 1
LCM(205,371) = 76055
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FAQs on GCF of Fractions of 9427/205, 6369/371
1. What is the HCF of 9427,6369?
The HCF of 9427,6369 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 9427/205, 6369/371?
Answer: GCF of Numerators as per given numbers 9427/205, 6369/371 is
GCF of Numerators i.e. for 9427,6369 is 11
LCM of denominators i.e. for 205,371 is 76055.
Thus, GCF of Fractions is 11/76055.Finally, GCF of Fractions for 9427/205, 6369/371 is 11/76055.