GCF of 1633/248, 1755/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1633/248, 1755/317 i.e 1/78616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1633/248, 1755/317.
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 1633/248,1755/317?
Given fractions are 1633/248,1755/317
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 1633/248,1755/317, numerators are 1633,1755
Denominators are 248,317
The GCF of 1633,1755 is 1 .
LCM of 248,317 is 78616.
The greatest common factor of 1633/248,1755/317 = [GCF of 1633,1755]/[LCM of 248,317]= 1/78616
Therefore, the GCF of 1633/248,1755/317 is 1/78616.
To find the highest common factor of 1633,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 1633 are 1, 23, 71, 1633
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 1633,1755 is 1.
Lets's calculate GCF of 1633,1755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1633,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 1633
:1,23,71,1633
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 1633,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 1633,1755 is 1.
Lets's calculate LCM of 248,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 78616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78616
Therefore, the GCF of Fractions 1633/248,1755/317 is 1/78616
Least Common Multiple of 248,317 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 248,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,317) x common factors =1 x 1 = 1
LCM(248,317) = ( 248 × 317 ) / 1
LCM(248,317) = 78616 / 1
LCM(248,317) = 78616
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FAQs on GCF of Fractions of 1633/248, 1755/317
1. What is the HCF of 1633,1755?
The HCF of 1633,1755 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 1633/248, 1755/317?
Answer: GCF of Numerators as per given numbers 1633/248, 1755/317 is
GCF of Numerators i.e. for 1633,1755 is 1
LCM of denominators i.e. for 248,317 is 78616.
Thus, GCF of Fractions is 1/78616.Finally, GCF of Fractions for 1633/248, 1755/317 is 1/78616.