GCF of 7188/340, 6422/2361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7188/340, 6422/2361 i.e 2/802740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7188/340, 6422/2361.
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 7188/340,6422/2361?
Given fractions are 7188/340,6422/2361
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 7188/340,6422/2361, numerators are 7188,6422
Denominators are 340,2361
The GCF of 7188,6422 is 2 .
LCM of 340,2361 is 802740.
The greatest common factor of 7188/340,6422/2361 = [GCF of 7188,6422]/[LCM of 340,2361]= 2/802740
Therefore, the GCF of 7188/340,6422/2361 is 2/802740.
To find the highest common factor of 7188,6422, we have to find the factors of both numbers and list the highest common factor.
The factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188
The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
The HCF of 7188,6422 is 2.
Lets's calculate GCF of 7188,6422
| 2 | 7188, 6422 |
| 3594, 3211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7188,6422 By Matching Biggest Common Factor Method
Now, list down the factors of 7188
:1,2,3,4,6,12,599,1198,1797,2396,3594,7188
Now, list down the factors of 6422
:1,2,13,19,26,38,169,247,338,494,3211,6422
Greatest Common Factor
We found the factors 7188,6422 . The biggest common factor number is the GCF number.
So the greatest common factor 7188,6422 is 2.
Lets's calculate LCM of 340,2361
Given numbers has no common factors except 1. So, there LCM is their product i.e 802740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/802740
Therefore, the GCF of Fractions 7188/340,6422/2361 is 2/802740
Least Common Multiple of 340,2361 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 340,2361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,2361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,2361) x common factors =1 x 1 = 1
LCM(340,2361) = ( 340 × 2361 ) / 1
LCM(340,2361) = 802740 / 1
LCM(340,2361) = 802740
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FAQs on GCF of Fractions of 7188/340, 6422/2361
1. What is the HCF of 7188,6422?
The HCF of 7188,6422 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 7188/340, 6422/2361?
Answer: GCF of Numerators as per given numbers 7188/340, 6422/2361 is
GCF of Numerators i.e. for 7188,6422 is 2
LCM of denominators i.e. for 340,2361 is 802740.
Thus, GCF of Fractions is 2/802740.Finally, GCF of Fractions for 7188/340, 6422/2361 is 2/802740.