GCF of 9206/994, 8876/5180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9206/994, 8876/5180 i.e 2/367780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9206/994, 8876/5180.
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 9206/994,8876/5180?
Given fractions are 9206/994,8876/5180
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 9206/994,8876/5180, numerators are 9206,8876
Denominators are 994,5180
The GCF of 9206,8876 is 2 .
LCM of 994,5180 is 367780.
The greatest common factor of 9206/994,8876/5180 = [GCF of 9206,8876]/[LCM of 994,5180]= 2/367780
Therefore, the GCF of 9206/994,8876/5180 is 2/367780.
To find the highest common factor of 9206,8876, we have to find the factors of both numbers and list the highest common factor.
The factors of 9206 are 1, 2, 4603, 9206
The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876
The HCF of 9206,8876 is 2.
Lets's calculate GCF of 9206,8876
| 2 | 9206, 8876 |
| 4603, 4438 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9206,8876 By Matching Biggest Common Factor Method
Now, list down the factors of 9206
:1,2,4603,9206
Now, list down the factors of 8876
:1,2,4,7,14,28,317,634,1268,2219,4438,8876
Greatest Common Factor
We found the factors 9206,8876 . The biggest common factor number is the GCF number.
So the greatest common factor 9206,8876 is 2.
Lets's calculate LCM of 994,5180
| 2 | 994, 5180 |
| 7 | 497, 2590 |
| 71, 370 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 370 = 367780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/367780
Therefore, the GCF of Fractions 9206/994,8876/5180 is 2/367780
Least Common Multiple of 994,5180 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 994,5180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,5180) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(994,5180) x common factors =14 x 1 = 14
LCM(994,5180) = ( 994 × 5180 ) / 14
LCM(994,5180) = 5148920 / 14
LCM(994,5180) = 367780
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FAQs on GCF of Fractions of 9206/994, 8876/5180
1. What is the HCF of 9206,8876?
The HCF of 9206,8876 is 2
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 9206/994, 8876/5180?
Answer: GCF of Numerators as per given numbers 9206/994, 8876/5180 is
GCF of Numerators i.e. for 9206,8876 is 2
LCM of denominators i.e. for 994,5180 is 367780.
Thus, GCF of Fractions is 2/367780.Finally, GCF of Fractions for 9206/994, 8876/5180 is 2/367780.