GCF of 7180/543, 3590/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7180/543, 3590/377 i.e 3590/204711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7180/543, 3590/377.
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 7180/543,3590/377?
Given fractions are 7180/543,3590/377
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 7180/543,3590/377, numerators are 7180,3590
Denominators are 543,377
The GCF of 7180,3590 is 3590 .
LCM of 543,377 is 204711.
The greatest common factor of 7180/543,3590/377 = [GCF of 7180,3590]/[LCM of 543,377]= 3590/204711
Therefore, the GCF of 7180/543,3590/377 is 3590/204711.
To find the highest common factor of 7180,3590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180
The factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590
The HCF of 7180,3590 is 3590.
Lets's calculate GCF of 7180,3590
| 2 | 7180, 3590 |
| 5 | 3590, 1795 |
| 359 | 718, 359 |
| 2, 1 |
∴ So the GCF of the given numbers is 2 x 5 x 359 = 3590
Greatest Common Factor of 7180,3590 By Matching Biggest Common Factor Method
Now, list down the factors of 7180
:1,2,4,5,10,20,359,718,1436,1795,3590,7180
Now, list down the factors of 3590
:1,2,5,10,359,718,1795,3590
Greatest Common Factor
We found the factors 7180,3590 . The biggest common factor number is the GCF number.
So the greatest common factor 7180,3590 is 3590.
Lets's calculate LCM of 543,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 204711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3590/204711
Therefore, the GCF of Fractions 7180/543,3590/377 is 3590/204711
Least Common Multiple of 543,377 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 543,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,377) x common factors =1 x 1 = 1
LCM(543,377) = ( 543 × 377 ) / 1
LCM(543,377) = 204711 / 1
LCM(543,377) = 204711
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FAQs on GCF of Fractions of 7180/543, 3590/377
1. What is the HCF of 7180,3590?
The HCF of 7180,3590 is 3590
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 7180/543, 3590/377?
Answer: GCF of Numerators as per given numbers 7180/543, 3590/377 is
GCF of Numerators i.e. for 7180,3590 is 3590
LCM of denominators i.e. for 543,377 is 204711.
Thus, GCF of Fractions is 3590/204711.Finally, GCF of Fractions for 7180/543, 3590/377 is 3590/204711.