GCF of 453/576, 2360/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/576, 2360/619 i.e 1/356544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/576, 2360/619.
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 453/576,2360/619?
Given fractions are 453/576,2360/619
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 453/576,2360/619, numerators are 453,2360
Denominators are 576,619
The GCF of 453,2360 is 1 .
LCM of 576,619 is 356544.
The greatest common factor of 453/576,2360/619 = [GCF of 453,2360]/[LCM of 576,619]= 1/356544
Therefore, the GCF of 453/576,2360/619 is 1/356544.
To find the highest common factor of 453,2360, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360
The HCF of 453,2360 is 1.
Lets's calculate GCF of 453,2360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 453,2360 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 2360
:1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Greatest Common Factor
We found the factors 453,2360 . The biggest common factor number is the GCF number.
So the greatest common factor 453,2360 is 1.
Lets's calculate LCM of 576,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 356544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356544
Therefore, the GCF of Fractions 453/576,2360/619 is 1/356544
Least Common Multiple of 576,619 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 576,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,619) x common factors =1 x 1 = 1
LCM(576,619) = ( 576 × 619 ) / 1
LCM(576,619) = 356544 / 1
LCM(576,619) = 356544
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 453/576, 2360/619
1. What is the HCF of 453,2360?
The HCF of 453,2360 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 453/576, 2360/619?
Answer: GCF of Numerators as per given numbers 453/576, 2360/619 is
GCF of Numerators i.e. for 453,2360 is 1
LCM of denominators i.e. for 576,619 is 356544.
Thus, GCF of Fractions is 1/356544.Finally, GCF of Fractions for 453/576, 2360/619 is 1/356544.