GCF of 7181/394, 7568/4076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7181/394, 7568/4076 i.e 43/802972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7181/394, 7568/4076.
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 7181/394,7568/4076?
Given fractions are 7181/394,7568/4076
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 7181/394,7568/4076, numerators are 7181,7568
Denominators are 394,4076
The GCF of 7181,7568 is 43 .
LCM of 394,4076 is 802972.
The greatest common factor of 7181/394,7568/4076 = [GCF of 7181,7568]/[LCM of 394,4076]= 43/802972
Therefore, the GCF of 7181/394,7568/4076 is 43/802972.
To find the highest common factor of 7181,7568, we have to find the factors of both numbers and list the highest common factor.
The factors of 7181 are 1, 43, 167, 7181
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The HCF of 7181,7568 is 43.
Lets's calculate GCF of 7181,7568
| 43 | 7181, 7568 |
| 167, 176 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 7181,7568 By Matching Biggest Common Factor Method
Now, list down the factors of 7181
:1,43,167,7181
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Greatest Common Factor
We found the factors 7181,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 7181,7568 is 43.
Lets's calculate LCM of 394,4076
| 2 | 394, 4076 |
| 197, 2038 |
∴ So the LCM of the given numbers is 2 x 197 x 2038 = 802972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/802972
Therefore, the GCF of Fractions 7181/394,7568/4076 is 43/802972
Least Common Multiple of 394,4076 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 394,4076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,4076) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,4076) x common factors =2 x 1 = 2
LCM(394,4076) = ( 394 × 4076 ) / 2
LCM(394,4076) = 1605944 / 2
LCM(394,4076) = 802972
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FAQs on GCF of Fractions of 7181/394, 7568/4076
1. What is the HCF of 7181,7568?
The HCF of 7181,7568 is 43
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 7181/394, 7568/4076?
Answer: GCF of Numerators as per given numbers 7181/394, 7568/4076 is
GCF of Numerators i.e. for 7181,7568 is 43
LCM of denominators i.e. for 394,4076 is 802972.
Thus, GCF of Fractions is 43/802972.Finally, GCF of Fractions for 7181/394, 7568/4076 is 43/802972.