GCF of 2476/833, 2565/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2476/833, 2565/471 i.e 1/392343 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2476/833, 2565/471.
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 2476/833,2565/471?
Given fractions are 2476/833,2565/471
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 2476/833,2565/471, numerators are 2476,2565
Denominators are 833,471
The GCF of 2476,2565 is 1 .
LCM of 833,471 is 392343.
The greatest common factor of 2476/833,2565/471 = [GCF of 2476,2565]/[LCM of 833,471]= 1/392343
Therefore, the GCF of 2476/833,2565/471 is 1/392343.
To find the highest common factor of 2476,2565, we have to find the factors of both numbers and list the highest common factor.
The factors of 2476 are 1, 2, 4, 619, 1238, 2476
The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
The HCF of 2476,2565 is 1.
Lets's calculate GCF of 2476,2565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2476,2565 By Matching Biggest Common Factor Method
Now, list down the factors of 2476
:1,2,4,619,1238,2476
Now, list down the factors of 2565
:1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565
Greatest Common Factor
We found the factors 2476,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 2476,2565 is 1.
Lets's calculate LCM of 833,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 392343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392343
Therefore, the GCF of Fractions 2476/833,2565/471 is 1/392343
Least Common Multiple of 833,471 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 833,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,471) x common factors =1 x 1 = 1
LCM(833,471) = ( 833 × 471 ) / 1
LCM(833,471) = 392343 / 1
LCM(833,471) = 392343
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FAQs on GCF of Fractions of 2476/833, 2565/471
1. What is the HCF of 2476,2565?
The HCF of 2476,2565 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 2476/833, 2565/471?
Answer: GCF of Numerators as per given numbers 2476/833, 2565/471 is
GCF of Numerators i.e. for 2476,2565 is 1
LCM of denominators i.e. for 833,471 is 392343.
Thus, GCF of Fractions is 1/392343.Finally, GCF of Fractions for 2476/833, 2565/471 is 1/392343.