GCF of 2601/478, 1414/4049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2601/478, 1414/4049 i.e 1/1935422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2601/478, 1414/4049.
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 2601/478,1414/4049?
Given fractions are 2601/478,1414/4049
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 2601/478,1414/4049, numerators are 2601,1414
Denominators are 478,4049
The GCF of 2601,1414 is 1 .
LCM of 478,4049 is 1935422.
The greatest common factor of 2601/478,1414/4049 = [GCF of 2601,1414]/[LCM of 478,4049]= 1/1935422
Therefore, the GCF of 2601/478,1414/4049 is 1/1935422.
To find the highest common factor of 2601,1414, we have to find the factors of both numbers and list the highest common factor.
The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The HCF of 2601,1414 is 1.
Lets's calculate GCF of 2601,1414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2601,1414 By Matching Biggest Common Factor Method
Now, list down the factors of 2601
:1,3,9,17,51,153,289,867,2601
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 2601,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 2601,1414 is 1.
Lets's calculate LCM of 478,4049
Given numbers has no common factors except 1. So, there LCM is their product i.e 1935422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1935422
Therefore, the GCF of Fractions 2601/478,1414/4049 is 1/1935422
Least Common Multiple of 478,4049 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 478,4049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,4049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,4049) x common factors =1 x 1 = 1
LCM(478,4049) = ( 478 × 4049 ) / 1
LCM(478,4049) = 1935422 / 1
LCM(478,4049) = 1935422
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FAQs on GCF of Fractions of 2601/478, 1414/4049
1. What is the HCF of 2601,1414?
The HCF of 2601,1414 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 2601/478, 1414/4049?
Answer: GCF of Numerators as per given numbers 2601/478, 1414/4049 is
GCF of Numerators i.e. for 2601,1414 is 1
LCM of denominators i.e. for 478,4049 is 1935422.
Thus, GCF of Fractions is 1/1935422.Finally, GCF of Fractions for 2601/478, 1414/4049 is 1/1935422.