GCF of 1003/269, 9563/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1003/269, 9563/665 i.e 1/178885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1003/269, 9563/665.
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 1003/269,9563/665?
Given fractions are 1003/269,9563/665
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 1003/269,9563/665, numerators are 1003,9563
Denominators are 269,665
The GCF of 1003,9563 is 1 .
LCM of 269,665 is 178885.
The greatest common factor of 1003/269,9563/665 = [GCF of 1003,9563]/[LCM of 269,665]= 1/178885
Therefore, the GCF of 1003/269,9563/665 is 1/178885.
To find the highest common factor of 1003,9563, we have to find the factors of both numbers and list the highest common factor.
The factors of 1003 are 1, 17, 59, 1003
The factors of 9563 are 1, 73, 131, 9563
The HCF of 1003,9563 is 1.
Lets's calculate GCF of 1003,9563
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1003,9563 By Matching Biggest Common Factor Method
Now, list down the factors of 1003
:1,17,59,1003
Now, list down the factors of 9563
:1,73,131,9563
Greatest Common Factor
We found the factors 1003,9563 . The biggest common factor number is the GCF number.
So the greatest common factor 1003,9563 is 1.
Lets's calculate LCM of 269,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 178885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178885
Therefore, the GCF of Fractions 1003/269,9563/665 is 1/178885
Least Common Multiple of 269,665 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 269,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,665) x common factors =1 x 1 = 1
LCM(269,665) = ( 269 × 665 ) / 1
LCM(269,665) = 178885 / 1
LCM(269,665) = 178885
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FAQs on GCF of Fractions of 1003/269, 9563/665
1. What is the HCF of 1003,9563?
The HCF of 1003,9563 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 1003/269, 9563/665?
Answer: GCF of Numerators as per given numbers 1003/269, 9563/665 is
GCF of Numerators i.e. for 1003,9563 is 1
LCM of denominators i.e. for 269,665 is 178885.
Thus, GCF of Fractions is 1/178885.Finally, GCF of Fractions for 1003/269, 9563/665 is 1/178885.