GCF of 9443/259, 1755/1505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9443/259, 1755/1505 i.e 1/55685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9443/259, 1755/1505.
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 9443/259,1755/1505?
Given fractions are 9443/259,1755/1505
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 9443/259,1755/1505, numerators are 9443,1755
Denominators are 259,1505
The GCF of 9443,1755 is 1 .
LCM of 259,1505 is 55685.
The greatest common factor of 9443/259,1755/1505 = [GCF of 9443,1755]/[LCM of 259,1505]= 1/55685
Therefore, the GCF of 9443/259,1755/1505 is 1/55685.
To find the highest common factor of 9443,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 9443,1755 is 1.
Lets's calculate GCF of 9443,1755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9443,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 9443
:1,7,19,71,133,497,1349,9443
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 9443,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 9443,1755 is 1.
Lets's calculate LCM of 259,1505
| 7 | 259, 1505 |
| 37, 215 |
∴ So the LCM of the given numbers is 7 x 37 x 215 = 55685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55685
Therefore, the GCF of Fractions 9443/259,1755/1505 is 1/55685
Least Common Multiple of 259,1505 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 259,1505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,1505) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(259,1505) x common factors =7 x 1 = 7
LCM(259,1505) = ( 259 × 1505 ) / 7
LCM(259,1505) = 389795 / 7
LCM(259,1505) = 55685
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FAQs on GCF of Fractions of 9443/259, 1755/1505
1. What is the HCF of 9443,1755?
The HCF of 9443,1755 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 9443/259, 1755/1505?
Answer: GCF of Numerators as per given numbers 9443/259, 1755/1505 is
GCF of Numerators i.e. for 9443,1755 is 1
LCM of denominators i.e. for 259,1505 is 55685.
Thus, GCF of Fractions is 1/55685.Finally, GCF of Fractions for 9443/259, 1755/1505 is 1/55685.