GCF of 4229/228, 4182/7291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4229/228, 4182/7291 i.e 1/1662348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4229/228, 4182/7291.
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 4229/228,4182/7291?
Given fractions are 4229/228,4182/7291
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 4229/228,4182/7291, numerators are 4229,4182
Denominators are 228,7291
The GCF of 4229,4182 is 1 .
LCM of 228,7291 is 1662348.
The greatest common factor of 4229/228,4182/7291 = [GCF of 4229,4182]/[LCM of 228,7291]= 1/1662348
Therefore, the GCF of 4229/228,4182/7291 is 1/1662348.
To find the highest common factor of 4229,4182, 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 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182
The HCF of 4229,4182 is 1.
Lets's calculate GCF of 4229,4182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4229,4182 By Matching Biggest Common Factor Method
Now, list down the factors of 4229
:1,4229
Now, list down the factors of 4182
:1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Greatest Common Factor
We found the factors 4229,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 4229,4182 is 1.
Lets's calculate LCM of 228,7291
Given numbers has no common factors except 1. So, there LCM is their product i.e 1662348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1662348
Therefore, the GCF of Fractions 4229/228,4182/7291 is 1/1662348
Least Common Multiple of 228,7291 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 228,7291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,7291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,7291) x common factors =1 x 1 = 1
LCM(228,7291) = ( 228 × 7291 ) / 1
LCM(228,7291) = 1662348 / 1
LCM(228,7291) = 1662348
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FAQs on GCF of Fractions of 4229/228, 4182/7291
1. What is the HCF of 4229,4182?
The HCF of 4229,4182 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 4229/228, 4182/7291?
Answer: GCF of Numerators as per given numbers 4229/228, 4182/7291 is
GCF of Numerators i.e. for 4229,4182 is 1
LCM of denominators i.e. for 228,7291 is 1662348.
Thus, GCF of Fractions is 1/1662348.Finally, GCF of Fractions for 4229/228, 4182/7291 is 1/1662348.