GCF of 4229/615, 1524/563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4229/615, 1524/563 i.e 1/346245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4229/615, 1524/563.
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 4229/615,1524/563?
Given fractions are 4229/615,1524/563
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 4229/615,1524/563, numerators are 4229,1524
Denominators are 615,563
The GCF of 4229,1524 is 1 .
LCM of 615,563 is 346245.
The greatest common factor of 4229/615,1524/563 = [GCF of 4229,1524]/[LCM of 615,563]= 1/346245
Therefore, the GCF of 4229/615,1524/563 is 1/346245.
To find the highest common factor of 4229,1524, we have to find the factors of both numbers and list the highest common factor.
The factors of 4229 are 1, 4229
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The HCF of 4229,1524 is 1.
Lets's calculate GCF of 4229,1524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4229,1524 By Matching Biggest Common Factor Method
Now, list down the factors of 4229
:1,4229
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 4229,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 4229,1524 is 1.
Lets's calculate LCM of 615,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 346245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346245
Therefore, the GCF of Fractions 4229/615,1524/563 is 1/346245
Least Common Multiple of 615,563 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 615,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,563) x common factors =1 x 1 = 1
LCM(615,563) = ( 615 × 563 ) / 1
LCM(615,563) = 346245 / 1
LCM(615,563) = 346245
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FAQs on GCF of Fractions of 4229/615, 1524/563
1. What is the HCF of 4229,1524?
The HCF of 4229,1524 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 4229/615, 1524/563?
Answer: GCF of Numerators as per given numbers 4229/615, 1524/563 is
GCF of Numerators i.e. for 4229,1524 is 1
LCM of denominators i.e. for 615,563 is 346245.
Thus, GCF of Fractions is 1/346245.Finally, GCF of Fractions for 4229/615, 1524/563 is 1/346245.