GCF of 2023/887, 9603/905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2023/887, 9603/905 i.e 1/802735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2023/887, 9603/905.
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 2023/887,9603/905?
Given fractions are 2023/887,9603/905
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 2023/887,9603/905, numerators are 2023,9603
Denominators are 887,905
The GCF of 2023,9603 is 1 .
LCM of 887,905 is 802735.
The greatest common factor of 2023/887,9603/905 = [GCF of 2023,9603]/[LCM of 887,905]= 1/802735
Therefore, the GCF of 2023/887,9603/905 is 1/802735.
To find the highest common factor of 2023,9603, we have to find the factors of both numbers and list the highest common factor.
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
The HCF of 2023,9603 is 1.
Lets's calculate GCF of 2023,9603
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2023,9603 By Matching Biggest Common Factor Method
Now, list down the factors of 2023
:1,7,17,119,289,2023
Now, list down the factors of 9603
:1,3,9,11,33,97,99,291,873,1067,3201,9603
Greatest Common Factor
We found the factors 2023,9603 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,9603 is 1.
Lets's calculate LCM of 887,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 802735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802735
Therefore, the GCF of Fractions 2023/887,9603/905 is 1/802735
Least Common Multiple of 887,905 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 887,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,905) x common factors =1 x 1 = 1
LCM(887,905) = ( 887 × 905 ) / 1
LCM(887,905) = 802735 / 1
LCM(887,905) = 802735
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FAQs on GCF of Fractions of 2023/887, 9603/905
1. What is the HCF of 2023,9603?
The HCF of 2023,9603 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 2023/887, 9603/905?
Answer: GCF of Numerators as per given numbers 2023/887, 9603/905 is
GCF of Numerators i.e. for 2023,9603 is 1
LCM of denominators i.e. for 887,905 is 802735.
Thus, GCF of Fractions is 1/802735.Finally, GCF of Fractions for 2023/887, 9603/905 is 1/802735.