GCF of 8019/892, 8041/9995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8019/892, 8041/9995 i.e 11/8915540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8019/892, 8041/9995.
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 8019/892,8041/9995?
Given fractions are 8019/892,8041/9995
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 8019/892,8041/9995, numerators are 8019,8041
Denominators are 892,9995
The GCF of 8019,8041 is 11 .
LCM of 892,9995 is 8915540.
The greatest common factor of 8019/892,8041/9995 = [GCF of 8019,8041]/[LCM of 892,9995]= 11/8915540
Therefore, the GCF of 8019/892,8041/9995 is 11/8915540.
To find the highest common factor of 8019,8041, we have to find the factors of both numbers and list the highest common factor.
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041
The HCF of 8019,8041 is 11.
Lets's calculate GCF of 8019,8041
| 11 | 8019, 8041 |
| 729, 731 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8019,8041 By Matching Biggest Common Factor Method
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Now, list down the factors of 8041
:1,11,17,43,187,473,731,8041
Greatest Common Factor
We found the factors 8019,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 8019,8041 is 11.
Lets's calculate LCM of 892,9995
Given numbers has no common factors except 1. So, there LCM is their product i.e 8915540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8915540
Therefore, the GCF of Fractions 8019/892,8041/9995 is 11/8915540
Least Common Multiple of 892,9995 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 892,9995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,9995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,9995) x common factors =1 x 1 = 1
LCM(892,9995) = ( 892 × 9995 ) / 1
LCM(892,9995) = 8915540 / 1
LCM(892,9995) = 8915540
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FAQs on GCF of Fractions of 8019/892, 8041/9995
1. What is the HCF of 8019,8041?
The HCF of 8019,8041 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 8019/892, 8041/9995?
Answer: GCF of Numerators as per given numbers 8019/892, 8041/9995 is
GCF of Numerators i.e. for 8019,8041 is 11
LCM of denominators i.e. for 892,9995 is 8915540.
Thus, GCF of Fractions is 11/8915540.Finally, GCF of Fractions for 8019/892, 8041/9995 is 11/8915540.