GCF of 4983/906, 2310/9834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4983/906, 2310/9834 i.e 33/1484934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4983/906, 2310/9834.
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 4983/906,2310/9834?
Given fractions are 4983/906,2310/9834
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 4983/906,2310/9834, numerators are 4983,2310
Denominators are 906,9834
The GCF of 4983,2310 is 33 .
LCM of 906,9834 is 1484934.
The greatest common factor of 4983/906,2310/9834 = [GCF of 4983,2310]/[LCM of 906,9834]= 33/1484934
Therefore, the GCF of 4983/906,2310/9834 is 33/1484934.
To find the highest common factor of 4983,2310, we have to find the factors of both numbers and list the highest common factor.
The factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983
The factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
The HCF of 4983,2310 is 33.
Lets's calculate GCF of 4983,2310
| 3 | 4983, 2310 |
| 11 | 1661, 770 |
| 151, 70 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 4983,2310 By Matching Biggest Common Factor Method
Now, list down the factors of 4983
:1,3,11,33,151,453,1661,4983
Now, list down the factors of 2310
:1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Greatest Common Factor
We found the factors 4983,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 4983,2310 is 33.
Lets's calculate LCM of 906,9834
| 2 | 906, 9834 |
| 3 | 453, 4917 |
| 151, 1639 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 1639 = 1484934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1484934
Therefore, the GCF of Fractions 4983/906,2310/9834 is 33/1484934
Least Common Multiple of 906,9834 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 906,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,9834) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,9834) x common factors =6 x 1 = 6
LCM(906,9834) = ( 906 × 9834 ) / 6
LCM(906,9834) = 8909604 / 6
LCM(906,9834) = 1484934
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4983/906, 2310/9834
1. What is the HCF of 4983,2310?
The HCF of 4983,2310 is 33
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 4983/906, 2310/9834?
Answer: GCF of Numerators as per given numbers 4983/906, 2310/9834 is
GCF of Numerators i.e. for 4983,2310 is 33
LCM of denominators i.e. for 906,9834 is 1484934.
Thus, GCF of Fractions is 33/1484934.Finally, GCF of Fractions for 4983/906, 2310/9834 is 33/1484934.