GCF of 443/239, 375/167, 414/411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 443/239, 375/167, 414/411 i.e 1/16404243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/239, 375/167, 414/411.
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 443/239,375/167,414/411?
Given fractions are 443/239,375/167,414/411
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 443/239,375/167,414/411, numerators are 443,375,414
Denominators are 239,167,411
The GCF of 443,375,414 is 1 .
LCM of 239,167,411 is 16404243.
The greatest common factor of 443/239,375/167,414/411 = [GCF of 443,375,414]/[LCM of 239,167,411]= 1/16404243
Therefore, the GCF of 443/239,375/167,414/411 is 1/16404243.
To find the highest common factor of 443,375,414, we have to find the factors of both numbers and list the highest common factor.
The factors of 443 are 1, 443
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The HCF of 443,375,414 is 1.
Lets's calculate GCF of 443,375,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 443,375,414 By Matching Biggest Common Factor Method
Now, list down the factors of 443
:1,443
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 443,375,414 . The biggest common factor number is the GCF number.
So the greatest common factor 443,375,414 is 1.
Lets's calculate LCM of 239,167,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 16404243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16404243
Therefore, the GCF of Fractions 443/239,375/167,414/411 is 1/16404243
Least Common Multiple of 239,167,411 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 239,167,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,167,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,167,411) x common factors =1 x 1 = 1
LCM(239,167,411) = ( 239 × 167 × 411 ) / 1
LCM(239,167,411) = 16404243 / 1
LCM(239,167,411) = 16404243
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FAQs on GCF of Fractions of 443/239, 375/167, 414/411
1. What is the HCF of 443,375,414?
The HCF of 443,375,414 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 443/239, 375/167, 414/411?
Answer: GCF of Numerators as per given numbers 443/239, 375/167, 414/411 is
GCF of Numerators i.e. for 443,375,414 is 1
LCM of denominators i.e. for 239,167,411 is 16404243.
Thus, GCF of Fractions is 1/16404243.Finally, GCF of Fractions for 443/239, 375/167, 414/411 is 1/16404243.