GCF of 4233/415, 7475/4391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4233/415, 7475/4391 i.e 1/1822265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4233/415, 7475/4391.
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 4233/415,7475/4391?
Given fractions are 4233/415,7475/4391
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 4233/415,7475/4391, numerators are 4233,7475
Denominators are 415,4391
The GCF of 4233,7475 is 1 .
LCM of 415,4391 is 1822265.
The greatest common factor of 4233/415,7475/4391 = [GCF of 4233,7475]/[LCM of 415,4391]= 1/1822265
Therefore, the GCF of 4233/415,7475/4391 is 1/1822265.
To find the highest common factor of 4233,7475, we have to find the factors of both numbers and list the highest common factor.
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The factors of 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475
The HCF of 4233,7475 is 1.
Lets's calculate GCF of 4233,7475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4233,7475 By Matching Biggest Common Factor Method
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Now, list down the factors of 7475
:1,5,13,23,25,65,115,299,325,575,1495,7475
Greatest Common Factor
We found the factors 4233,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 4233,7475 is 1.
Lets's calculate LCM of 415,4391
Given numbers has no common factors except 1. So, there LCM is their product i.e 1822265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1822265
Therefore, the GCF of Fractions 4233/415,7475/4391 is 1/1822265
Least Common Multiple of 415,4391 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 415,4391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,4391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,4391) x common factors =1 x 1 = 1
LCM(415,4391) = ( 415 × 4391 ) / 1
LCM(415,4391) = 1822265 / 1
LCM(415,4391) = 1822265
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FAQs on GCF of Fractions of 4233/415, 7475/4391
1. What is the HCF of 4233,7475?
The HCF of 4233,7475 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 4233/415, 7475/4391?
Answer: GCF of Numerators as per given numbers 4233/415, 7475/4391 is
GCF of Numerators i.e. for 4233,7475 is 1
LCM of denominators i.e. for 415,4391 is 1822265.
Thus, GCF of Fractions is 1/1822265.Finally, GCF of Fractions for 4233/415, 7475/4391 is 1/1822265.