GCF of 2183/409, 3421/1275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2183/409, 3421/1275 i.e 1/521475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2183/409, 3421/1275.
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 2183/409,3421/1275?
Given fractions are 2183/409,3421/1275
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 2183/409,3421/1275, numerators are 2183,3421
Denominators are 409,1275
The GCF of 2183,3421 is 1 .
LCM of 409,1275 is 521475.
The greatest common factor of 2183/409,3421/1275 = [GCF of 2183,3421]/[LCM of 409,1275]= 1/521475
Therefore, the GCF of 2183/409,3421/1275 is 1/521475.
To find the highest common factor of 2183,3421, we have to find the factors of both numbers and list the highest common factor.
The factors of 2183 are 1, 37, 59, 2183
The factors of 3421 are 1, 11, 311, 3421
The HCF of 2183,3421 is 1.
Lets's calculate GCF of 2183,3421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2183,3421 By Matching Biggest Common Factor Method
Now, list down the factors of 2183
:1,37,59,2183
Now, list down the factors of 3421
:1,11,311,3421
Greatest Common Factor
We found the factors 2183,3421 . The biggest common factor number is the GCF number.
So the greatest common factor 2183,3421 is 1.
Lets's calculate LCM of 409,1275
Given numbers has no common factors except 1. So, there LCM is their product i.e 521475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521475
Therefore, the GCF of Fractions 2183/409,3421/1275 is 1/521475
Least Common Multiple of 409,1275 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 409,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,1275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,1275) x common factors =1 x 1 = 1
LCM(409,1275) = ( 409 × 1275 ) / 1
LCM(409,1275) = 521475 / 1
LCM(409,1275) = 521475
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FAQs on GCF of Fractions of 2183/409, 3421/1275
1. What is the HCF of 2183,3421?
The HCF of 2183,3421 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 2183/409, 3421/1275?
Answer: GCF of Numerators as per given numbers 2183/409, 3421/1275 is
GCF of Numerators i.e. for 2183,3421 is 1
LCM of denominators i.e. for 409,1275 is 521475.
Thus, GCF of Fractions is 1/521475.Finally, GCF of Fractions for 2183/409, 3421/1275 is 1/521475.