GCF of 4204/899, 9985/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4204/899, 9985/314 i.e 1/282286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4204/899, 9985/314.
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 4204/899,9985/314?
Given fractions are 4204/899,9985/314
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 4204/899,9985/314, numerators are 4204,9985
Denominators are 899,314
The GCF of 4204,9985 is 1 .
LCM of 899,314 is 282286.
The greatest common factor of 4204/899,9985/314 = [GCF of 4204,9985]/[LCM of 899,314]= 1/282286
Therefore, the GCF of 4204/899,9985/314 is 1/282286.
To find the highest common factor of 4204,9985, we have to find the factors of both numbers and list the highest common factor.
The factors of 4204 are 1, 2, 4, 1051, 2102, 4204
The factors of 9985 are 1, 5, 1997, 9985
The HCF of 4204,9985 is 1.
Lets's calculate GCF of 4204,9985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4204,9985 By Matching Biggest Common Factor Method
Now, list down the factors of 4204
:1,2,4,1051,2102,4204
Now, list down the factors of 9985
:1,5,1997,9985
Greatest Common Factor
We found the factors 4204,9985 . The biggest common factor number is the GCF number.
So the greatest common factor 4204,9985 is 1.
Lets's calculate LCM of 899,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 282286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282286
Therefore, the GCF of Fractions 4204/899,9985/314 is 1/282286
Least Common Multiple of 899,314 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 899,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,314) x common factors =1 x 1 = 1
LCM(899,314) = ( 899 × 314 ) / 1
LCM(899,314) = 282286 / 1
LCM(899,314) = 282286
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FAQs on GCF of Fractions of 4204/899, 9985/314
1. What is the HCF of 4204,9985?
The HCF of 4204,9985 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 4204/899, 9985/314?
Answer: GCF of Numerators as per given numbers 4204/899, 9985/314 is
GCF of Numerators i.e. for 4204,9985 is 1
LCM of denominators i.e. for 899,314 is 282286.
Thus, GCF of Fractions is 1/282286.Finally, GCF of Fractions for 4204/899, 9985/314 is 1/282286.