GCF of 3443/836, 1390/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3443/836, 1390/289 i.e 1/241604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3443/836, 1390/289.
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 3443/836,1390/289?
Given fractions are 3443/836,1390/289
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 3443/836,1390/289, numerators are 3443,1390
Denominators are 836,289
The GCF of 3443,1390 is 1 .
LCM of 836,289 is 241604.
The greatest common factor of 3443/836,1390/289 = [GCF of 3443,1390]/[LCM of 836,289]= 1/241604
Therefore, the GCF of 3443/836,1390/289 is 1/241604.
To find the highest common factor of 3443,1390, we have to find the factors of both numbers and list the highest common factor.
The factors of 3443 are 1, 11, 313, 3443
The factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390
The HCF of 3443,1390 is 1.
Lets's calculate GCF of 3443,1390
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3443,1390 By Matching Biggest Common Factor Method
Now, list down the factors of 3443
:1,11,313,3443
Now, list down the factors of 1390
:1,2,5,10,139,278,695,1390
Greatest Common Factor
We found the factors 3443,1390 . The biggest common factor number is the GCF number.
So the greatest common factor 3443,1390 is 1.
Lets's calculate LCM of 836,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 241604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241604
Therefore, the GCF of Fractions 3443/836,1390/289 is 1/241604
Least Common Multiple of 836,289 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 836,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,289) x common factors =1 x 1 = 1
LCM(836,289) = ( 836 × 289 ) / 1
LCM(836,289) = 241604 / 1
LCM(836,289) = 241604
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FAQs on GCF of Fractions of 3443/836, 1390/289
1. What is the HCF of 3443,1390?
The HCF of 3443,1390 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 3443/836, 1390/289?
Answer: GCF of Numerators as per given numbers 3443/836, 1390/289 is
GCF of Numerators i.e. for 3443,1390 is 1
LCM of denominators i.e. for 836,289 is 241604.
Thus, GCF of Fractions is 1/241604.Finally, GCF of Fractions for 3443/836, 1390/289 is 1/241604.