GCF of 7363/204, 4520/1619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7363/204, 4520/1619 i.e 1/330276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7363/204, 4520/1619.
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 7363/204,4520/1619?
Given fractions are 7363/204,4520/1619
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 7363/204,4520/1619, numerators are 7363,4520
Denominators are 204,1619
The GCF of 7363,4520 is 1 .
LCM of 204,1619 is 330276.
The greatest common factor of 7363/204,4520/1619 = [GCF of 7363,4520]/[LCM of 204,1619]= 1/330276
Therefore, the GCF of 7363/204,4520/1619 is 1/330276.
To find the highest common factor of 7363,4520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7363 are 1, 37, 199, 7363
The factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The HCF of 7363,4520 is 1.
Lets's calculate GCF of 7363,4520
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7363,4520 By Matching Biggest Common Factor Method
Now, list down the factors of 7363
:1,37,199,7363
Now, list down the factors of 4520
:1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Greatest Common Factor
We found the factors 7363,4520 . The biggest common factor number is the GCF number.
So the greatest common factor 7363,4520 is 1.
Lets's calculate LCM of 204,1619
Given numbers has no common factors except 1. So, there LCM is their product i.e 330276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330276
Therefore, the GCF of Fractions 7363/204,4520/1619 is 1/330276
Least Common Multiple of 204,1619 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 204,1619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1619) x common factors =1 x 1 = 1
LCM(204,1619) = ( 204 × 1619 ) / 1
LCM(204,1619) = 330276 / 1
LCM(204,1619) = 330276
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FAQs on GCF of Fractions of 7363/204, 4520/1619
1. What is the HCF of 7363,4520?
The HCF of 7363,4520 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 7363/204, 4520/1619?
Answer: GCF of Numerators as per given numbers 7363/204, 4520/1619 is
GCF of Numerators i.e. for 7363,4520 is 1
LCM of denominators i.e. for 204,1619 is 330276.
Thus, GCF of Fractions is 1/330276.Finally, GCF of Fractions for 7363/204, 4520/1619 is 1/330276.