GCF of 4583/245, 1845/864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4583/245, 1845/864 i.e 1/211680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4583/245, 1845/864.
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 4583/245,1845/864?
Given fractions are 4583/245,1845/864
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 4583/245,1845/864, numerators are 4583,1845
Denominators are 245,864
The GCF of 4583,1845 is 1 .
LCM of 245,864 is 211680.
The greatest common factor of 4583/245,1845/864 = [GCF of 4583,1845]/[LCM of 245,864]= 1/211680
Therefore, the GCF of 4583/245,1845/864 is 1/211680.
To find the highest common factor of 4583,1845, we have to find the factors of both numbers and list the highest common factor.
The factors of 4583 are 1, 4583
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The HCF of 4583,1845 is 1.
Lets's calculate GCF of 4583,1845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4583,1845 By Matching Biggest Common Factor Method
Now, list down the factors of 4583
:1,4583
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 4583,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 4583,1845 is 1.
Lets's calculate LCM of 245,864
Given numbers has no common factors except 1. So, there LCM is their product i.e 211680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211680
Therefore, the GCF of Fractions 4583/245,1845/864 is 1/211680
Least Common Multiple of 245,864 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 245,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,864) x common factors =1 x 1 = 1
LCM(245,864) = ( 245 × 864 ) / 1
LCM(245,864) = 211680 / 1
LCM(245,864) = 211680
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FAQs on GCF of Fractions of 4583/245, 1845/864
1. What is the HCF of 4583,1845?
The HCF of 4583,1845 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 4583/245, 1845/864?
Answer: GCF of Numerators as per given numbers 4583/245, 1845/864 is
GCF of Numerators i.e. for 4583,1845 is 1
LCM of denominators i.e. for 245,864 is 211680.
Thus, GCF of Fractions is 1/211680.Finally, GCF of Fractions for 4583/245, 1845/864 is 1/211680.