GCF of 6090/629, 7437/8686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6090/629, 7437/8686 i.e 3/5463494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6090/629, 7437/8686.
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 6090/629,7437/8686?
Given fractions are 6090/629,7437/8686
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 6090/629,7437/8686, numerators are 6090,7437
Denominators are 629,8686
The GCF of 6090,7437 is 3 .
LCM of 629,8686 is 5463494.
The greatest common factor of 6090/629,7437/8686 = [GCF of 6090,7437]/[LCM of 629,8686]= 3/5463494
Therefore, the GCF of 6090/629,7437/8686 is 3/5463494.
To find the highest common factor of 6090,7437, we have to find the factors of both numbers and list the highest common factor.
The factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
The factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437
The HCF of 6090,7437 is 3.
Lets's calculate GCF of 6090,7437
| 3 | 6090, 7437 |
| 2030, 2479 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6090,7437 By Matching Biggest Common Factor Method
Now, list down the factors of 6090
:1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Now, list down the factors of 7437
:1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 6090,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 6090,7437 is 3.
Lets's calculate LCM of 629,8686
Given numbers has no common factors except 1. So, there LCM is their product i.e 5463494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5463494
Therefore, the GCF of Fractions 6090/629,7437/8686 is 3/5463494
Least Common Multiple of 629,8686 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 629,8686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,8686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,8686) x common factors =1 x 1 = 1
LCM(629,8686) = ( 629 × 8686 ) / 1
LCM(629,8686) = 5463494 / 1
LCM(629,8686) = 5463494
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FAQs on GCF of Fractions of 6090/629, 7437/8686
1. What is the HCF of 6090,7437?
The HCF of 6090,7437 is 3
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 6090/629, 7437/8686?
Answer: GCF of Numerators as per given numbers 6090/629, 7437/8686 is
GCF of Numerators i.e. for 6090,7437 is 3
LCM of denominators i.e. for 629,8686 is 5463494.
Thus, GCF of Fractions is 3/5463494.Finally, GCF of Fractions for 6090/629, 7437/8686 is 3/5463494.