GCF of 4573/987, 9864/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4573/987, 9864/407 i.e 1/401709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4573/987, 9864/407.
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 4573/987,9864/407?
Given fractions are 4573/987,9864/407
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 4573/987,9864/407, numerators are 4573,9864
Denominators are 987,407
The GCF of 4573,9864 is 1 .
LCM of 987,407 is 401709.
The greatest common factor of 4573/987,9864/407 = [GCF of 4573,9864]/[LCM of 987,407]= 1/401709
Therefore, the GCF of 4573/987,9864/407 is 1/401709.
To find the highest common factor of 4573,9864, we have to find the factors of both numbers and list the highest common factor.
The factors of 4573 are 1, 17, 269, 4573
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The HCF of 4573,9864 is 1.
Lets's calculate GCF of 4573,9864
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4573,9864 By Matching Biggest Common Factor Method
Now, list down the factors of 4573
:1,17,269,4573
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors 4573,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 4573,9864 is 1.
Lets's calculate LCM of 987,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 401709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401709
Therefore, the GCF of Fractions 4573/987,9864/407 is 1/401709
Least Common Multiple of 987,407 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 987,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,407) x common factors =1 x 1 = 1
LCM(987,407) = ( 987 × 407 ) / 1
LCM(987,407) = 401709 / 1
LCM(987,407) = 401709
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FAQs on GCF of Fractions of 4573/987, 9864/407
1. What is the HCF of 4573,9864?
The HCF of 4573,9864 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 4573/987, 9864/407?
Answer: GCF of Numerators as per given numbers 4573/987, 9864/407 is
GCF of Numerators i.e. for 4573,9864 is 1
LCM of denominators i.e. for 987,407 is 401709.
Thus, GCF of Fractions is 1/401709.Finally, GCF of Fractions for 4573/987, 9864/407 is 1/401709.