GCF of 5820/415, 7319/1582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5820/415, 7319/1582 i.e 1/656530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5820/415, 7319/1582.
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 5820/415,7319/1582?
Given fractions are 5820/415,7319/1582
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 5820/415,7319/1582, numerators are 5820,7319
Denominators are 415,1582
The GCF of 5820,7319 is 1 .
LCM of 415,1582 is 656530.
The greatest common factor of 5820/415,7319/1582 = [GCF of 5820,7319]/[LCM of 415,1582]= 1/656530
Therefore, the GCF of 5820/415,7319/1582 is 1/656530.
To find the highest common factor of 5820,7319, we have to find the factors of both numbers and list the highest common factor.
The factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820
The factors of 7319 are 1, 13, 563, 7319
The HCF of 5820,7319 is 1.
Lets's calculate GCF of 5820,7319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5820,7319 By Matching Biggest Common Factor Method
Now, list down the factors of 5820
:1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820
Now, list down the factors of 7319
:1,13,563,7319
Greatest Common Factor
We found the factors 5820,7319 . The biggest common factor number is the GCF number.
So the greatest common factor 5820,7319 is 1.
Lets's calculate LCM of 415,1582
Given numbers has no common factors except 1. So, there LCM is their product i.e 656530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656530
Therefore, the GCF of Fractions 5820/415,7319/1582 is 1/656530
Least Common Multiple of 415,1582 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 415,1582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,1582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,1582) x common factors =1 x 1 = 1
LCM(415,1582) = ( 415 × 1582 ) / 1
LCM(415,1582) = 656530 / 1
LCM(415,1582) = 656530
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FAQs on GCF of Fractions of 5820/415, 7319/1582
1. What is the HCF of 5820,7319?
The HCF of 5820,7319 is 1
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 5820/415, 7319/1582?
Answer: GCF of Numerators as per given numbers 5820/415, 7319/1582 is
GCF of Numerators i.e. for 5820,7319 is 1
LCM of denominators i.e. for 415,1582 is 656530.
Thus, GCF of Fractions is 1/656530.Finally, GCF of Fractions for 5820/415, 7319/1582 is 1/656530.