GCF of 3526/460, 9858/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3526/460, 9858/499 i.e 2/229540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3526/460, 9858/499.
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 3526/460,9858/499?
Given fractions are 3526/460,9858/499
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 3526/460,9858/499, numerators are 3526,9858
Denominators are 460,499
The GCF of 3526,9858 is 2 .
LCM of 460,499 is 229540.
The greatest common factor of 3526/460,9858/499 = [GCF of 3526,9858]/[LCM of 460,499]= 2/229540
Therefore, the GCF of 3526/460,9858/499 is 2/229540.
To find the highest common factor of 3526,9858, we have to find the factors of both numbers and list the highest common factor.
The factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526
The factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858
The HCF of 3526,9858 is 2.
Lets's calculate GCF of 3526,9858
| 2 | 3526, 9858 |
| 1763, 4929 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3526,9858 By Matching Biggest Common Factor Method
Now, list down the factors of 3526
:1,2,41,43,82,86,1763,3526
Now, list down the factors of 9858
:1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Greatest Common Factor
We found the factors 3526,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 3526,9858 is 2.
Lets's calculate LCM of 460,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 229540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/229540
Therefore, the GCF of Fractions 3526/460,9858/499 is 2/229540
Least Common Multiple of 460,499 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 460,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,499) x common factors =1 x 1 = 1
LCM(460,499) = ( 460 × 499 ) / 1
LCM(460,499) = 229540 / 1
LCM(460,499) = 229540
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3526/460, 9858/499
1. What is the HCF of 3526,9858?
The HCF of 3526,9858 is 2
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 3526/460, 9858/499?
Answer: GCF of Numerators as per given numbers 3526/460, 9858/499 is
GCF of Numerators i.e. for 3526,9858 is 2
LCM of denominators i.e. for 460,499 is 229540.
Thus, GCF of Fractions is 2/229540.Finally, GCF of Fractions for 3526/460, 9858/499 is 2/229540.