GCF of 2002/379, 8092/7016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2002/379, 8092/7016 i.e 14/2659064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2002/379, 8092/7016.
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 2002/379,8092/7016?
Given fractions are 2002/379,8092/7016
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 2002/379,8092/7016, numerators are 2002,8092
Denominators are 379,7016
The GCF of 2002,8092 is 14 .
LCM of 379,7016 is 2659064.
The greatest common factor of 2002/379,8092/7016 = [GCF of 2002,8092]/[LCM of 379,7016]= 14/2659064
Therefore, the GCF of 2002/379,8092/7016 is 14/2659064.
To find the highest common factor of 2002,8092, we have to find the factors of both numbers and list the highest common factor.
The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002
The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The HCF of 2002,8092 is 14.
Lets's calculate GCF of 2002,8092
| 2 | 2002, 8092 |
| 7 | 1001, 4046 |
| 143, 578 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2002,8092 By Matching Biggest Common Factor Method
Now, list down the factors of 2002
:1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002
Now, list down the factors of 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Greatest Common Factor
We found the factors 2002,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 2002,8092 is 14.
Lets's calculate LCM of 379,7016
Given numbers has no common factors except 1. So, there LCM is their product i.e 2659064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2659064
Therefore, the GCF of Fractions 2002/379,8092/7016 is 14/2659064
Least Common Multiple of 379,7016 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 379,7016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,7016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,7016) x common factors =1 x 1 = 1
LCM(379,7016) = ( 379 × 7016 ) / 1
LCM(379,7016) = 2659064 / 1
LCM(379,7016) = 2659064
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FAQs on GCF of Fractions of 2002/379, 8092/7016
1. What is the HCF of 2002,8092?
The HCF of 2002,8092 is 14
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 2002/379, 8092/7016?
Answer: GCF of Numerators as per given numbers 2002/379, 8092/7016 is
GCF of Numerators i.e. for 2002,8092 is 14
LCM of denominators i.e. for 379,7016 is 2659064.
Thus, GCF of Fractions is 14/2659064.Finally, GCF of Fractions for 2002/379, 8092/7016 is 14/2659064.