GCF of 6176/796, 3994/8853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6176/796, 3994/8853 i.e 2/7046988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6176/796, 3994/8853.
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 6176/796,3994/8853?
Given fractions are 6176/796,3994/8853
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 6176/796,3994/8853, numerators are 6176,3994
Denominators are 796,8853
The GCF of 6176,3994 is 2 .
LCM of 796,8853 is 7046988.
The greatest common factor of 6176/796,3994/8853 = [GCF of 6176,3994]/[LCM of 796,8853]= 2/7046988
Therefore, the GCF of 6176/796,3994/8853 is 2/7046988.
To find the highest common factor of 6176,3994, we have to find the factors of both numbers and list the highest common factor.
The factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176
The factors of 3994 are 1, 2, 1997, 3994
The HCF of 6176,3994 is 2.
Lets's calculate GCF of 6176,3994
| 2 | 6176, 3994 |
| 3088, 1997 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6176,3994 By Matching Biggest Common Factor Method
Now, list down the factors of 6176
:1,2,4,8,16,32,193,386,772,1544,3088,6176
Now, list down the factors of 3994
:1,2,1997,3994
Greatest Common Factor
We found the factors 6176,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 6176,3994 is 2.
Lets's calculate LCM of 796,8853
Given numbers has no common factors except 1. So, there LCM is their product i.e 7046988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7046988
Therefore, the GCF of Fractions 6176/796,3994/8853 is 2/7046988
Least Common Multiple of 796,8853 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 796,8853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,8853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(796,8853) x common factors =1 x 1 = 1
LCM(796,8853) = ( 796 × 8853 ) / 1
LCM(796,8853) = 7046988 / 1
LCM(796,8853) = 7046988
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FAQs on GCF of Fractions of 6176/796, 3994/8853
1. What is the HCF of 6176,3994?
The HCF of 6176,3994 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 6176/796, 3994/8853?
Answer: GCF of Numerators as per given numbers 6176/796, 3994/8853 is
GCF of Numerators i.e. for 6176,3994 is 2
LCM of denominators i.e. for 796,8853 is 7046988.
Thus, GCF of Fractions is 2/7046988.Finally, GCF of Fractions for 6176/796, 3994/8853 is 2/7046988.