GCF of 2147/293, 1479/4297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2147/293, 1479/4297 i.e 1/1259021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2147/293, 1479/4297.
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 2147/293,1479/4297?
Given fractions are 2147/293,1479/4297
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 2147/293,1479/4297, numerators are 2147,1479
Denominators are 293,4297
The GCF of 2147,1479 is 1 .
LCM of 293,4297 is 1259021.
The greatest common factor of 2147/293,1479/4297 = [GCF of 2147,1479]/[LCM of 293,4297]= 1/1259021
Therefore, the GCF of 2147/293,1479/4297 is 1/1259021.
To find the highest common factor of 2147,1479, we have to find the factors of both numbers and list the highest common factor.
The factors of 2147 are 1, 19, 113, 2147
The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479
The HCF of 2147,1479 is 1.
Lets's calculate GCF of 2147,1479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2147,1479 By Matching Biggest Common Factor Method
Now, list down the factors of 2147
:1,19,113,2147
Now, list down the factors of 1479
:1,3,17,29,51,87,493,1479
Greatest Common Factor
We found the factors 2147,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 2147,1479 is 1.
Lets's calculate LCM of 293,4297
Given numbers has no common factors except 1. So, there LCM is their product i.e 1259021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1259021
Therefore, the GCF of Fractions 2147/293,1479/4297 is 1/1259021
Least Common Multiple of 293,4297 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 293,4297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,4297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,4297) x common factors =1 x 1 = 1
LCM(293,4297) = ( 293 × 4297 ) / 1
LCM(293,4297) = 1259021 / 1
LCM(293,4297) = 1259021
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FAQs on GCF of Fractions of 2147/293, 1479/4297
1. What is the HCF of 2147,1479?
The HCF of 2147,1479 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 2147/293, 1479/4297?
Answer: GCF of Numerators as per given numbers 2147/293, 1479/4297 is
GCF of Numerators i.e. for 2147,1479 is 1
LCM of denominators i.e. for 293,4297 is 1259021.
Thus, GCF of Fractions is 1/1259021.Finally, GCF of Fractions for 2147/293, 1479/4297 is 1/1259021.