GCF of 9858/401, 2985/473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9858/401, 2985/473 i.e 3/189673 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9858/401, 2985/473.
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 9858/401,2985/473?
Given fractions are 9858/401,2985/473
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 9858/401,2985/473, numerators are 9858,2985
Denominators are 401,473
The GCF of 9858,2985 is 3 .
LCM of 401,473 is 189673.
The greatest common factor of 9858/401,2985/473 = [GCF of 9858,2985]/[LCM of 401,473]= 3/189673
Therefore, the GCF of 9858/401,2985/473 is 3/189673.
To find the highest common factor of 9858,2985, we have to find the factors of both numbers and list the highest common factor.
The factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858
The factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985
The HCF of 9858,2985 is 3.
Lets's calculate GCF of 9858,2985
| 3 | 9858, 2985 |
| 3286, 995 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9858,2985 By Matching Biggest Common Factor Method
Now, list down the factors of 9858
:1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Now, list down the factors of 2985
:1,3,5,15,199,597,995,2985
Greatest Common Factor
We found the factors 9858,2985 . The biggest common factor number is the GCF number.
So the greatest common factor 9858,2985 is 3.
Lets's calculate LCM of 401,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 189673
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/189673
Therefore, the GCF of Fractions 9858/401,2985/473 is 3/189673
Least Common Multiple of 401,473 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 401,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,473) x common factors =1 x 1 = 1
LCM(401,473) = ( 401 × 473 ) / 1
LCM(401,473) = 189673 / 1
LCM(401,473) = 189673
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FAQs on GCF of Fractions of 9858/401, 2985/473
1. What is the HCF of 9858,2985?
The HCF of 9858,2985 is 3
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 9858/401, 2985/473?
Answer: GCF of Numerators as per given numbers 9858/401, 2985/473 is
GCF of Numerators i.e. for 9858,2985 is 3
LCM of denominators i.e. for 401,473 is 189673.
Thus, GCF of Fractions is 3/189673.Finally, GCF of Fractions for 9858/401, 2985/473 is 3/189673.