GCF of 3333/197, 8360/4774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3333/197, 8360/4774 i.e 11/940478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3333/197, 8360/4774.
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 3333/197,8360/4774?
Given fractions are 3333/197,8360/4774
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 3333/197,8360/4774, numerators are 3333,8360
Denominators are 197,4774
The GCF of 3333,8360 is 11 .
LCM of 197,4774 is 940478.
The greatest common factor of 3333/197,8360/4774 = [GCF of 3333,8360]/[LCM of 197,4774]= 11/940478
Therefore, the GCF of 3333/197,8360/4774 is 11/940478.
To find the highest common factor of 3333,8360, we have to find the factors of both numbers and list the highest common factor.
The factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333
The factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360
The HCF of 3333,8360 is 11.
Lets's calculate GCF of 3333,8360
| 11 | 3333, 8360 |
| 303, 760 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3333,8360 By Matching Biggest Common Factor Method
Now, list down the factors of 3333
:1,3,11,33,101,303,1111,3333
Now, list down the factors of 8360
:1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360
Greatest Common Factor
We found the factors 3333,8360 . The biggest common factor number is the GCF number.
So the greatest common factor 3333,8360 is 11.
Lets's calculate LCM of 197,4774
Given numbers has no common factors except 1. So, there LCM is their product i.e 940478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/940478
Therefore, the GCF of Fractions 3333/197,8360/4774 is 11/940478
Least Common Multiple of 197,4774 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 197,4774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,4774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,4774) x common factors =1 x 1 = 1
LCM(197,4774) = ( 197 × 4774 ) / 1
LCM(197,4774) = 940478 / 1
LCM(197,4774) = 940478
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3333/197, 8360/4774
1. What is the HCF of 3333,8360?
The HCF of 3333,8360 is 11
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 3333/197, 8360/4774?
Answer: GCF of Numerators as per given numbers 3333/197, 8360/4774 is
GCF of Numerators i.e. for 3333,8360 is 11
LCM of denominators i.e. for 197,4774 is 940478.
Thus, GCF of Fractions is 11/940478.Finally, GCF of Fractions for 3333/197, 8360/4774 is 11/940478.