GCF of 1409/488, 7797/2421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1409/488, 7797/2421 i.e 1/1181448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1409/488, 7797/2421.
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 1409/488,7797/2421?
Given fractions are 1409/488,7797/2421
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 1409/488,7797/2421, numerators are 1409,7797
Denominators are 488,2421
The GCF of 1409,7797 is 1 .
LCM of 488,2421 is 1181448.
The greatest common factor of 1409/488,7797/2421 = [GCF of 1409,7797]/[LCM of 488,2421]= 1/1181448
Therefore, the GCF of 1409/488,7797/2421 is 1/1181448.
To find the highest common factor of 1409,7797, we have to find the factors of both numbers and list the highest common factor.
The factors of 1409 are 1, 1409
The factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797
The HCF of 1409,7797 is 1.
Lets's calculate GCF of 1409,7797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1409,7797 By Matching Biggest Common Factor Method
Now, list down the factors of 1409
:1,1409
Now, list down the factors of 7797
:1,3,23,69,113,339,2599,7797
Greatest Common Factor
We found the factors 1409,7797 . The biggest common factor number is the GCF number.
So the greatest common factor 1409,7797 is 1.
Lets's calculate LCM of 488,2421
Given numbers has no common factors except 1. So, there LCM is their product i.e 1181448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1181448
Therefore, the GCF of Fractions 1409/488,7797/2421 is 1/1181448
Least Common Multiple of 488,2421 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 488,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,2421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,2421) x common factors =1 x 1 = 1
LCM(488,2421) = ( 488 × 2421 ) / 1
LCM(488,2421) = 1181448 / 1
LCM(488,2421) = 1181448
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FAQs on GCF of Fractions of 1409/488, 7797/2421
1. What is the HCF of 1409,7797?
The HCF of 1409,7797 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 1409/488, 7797/2421?
Answer: GCF of Numerators as per given numbers 1409/488, 7797/2421 is
GCF of Numerators i.e. for 1409,7797 is 1
LCM of denominators i.e. for 488,2421 is 1181448.
Thus, GCF of Fractions is 1/1181448.Finally, GCF of Fractions for 1409/488, 7797/2421 is 1/1181448.