GCF of 3396/828, 9003/2131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3396/828, 9003/2131 i.e 3/1764468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3396/828, 9003/2131.
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 3396/828,9003/2131?
Given fractions are 3396/828,9003/2131
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 3396/828,9003/2131, numerators are 3396,9003
Denominators are 828,2131
The GCF of 3396,9003 is 3 .
LCM of 828,2131 is 1764468.
The greatest common factor of 3396/828,9003/2131 = [GCF of 3396,9003]/[LCM of 828,2131]= 3/1764468
Therefore, the GCF of 3396/828,9003/2131 is 3/1764468.
To find the highest common factor of 3396,9003, we have to find the factors of both numbers and list the highest common factor.
The factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396
The factors of 9003 are 1, 3, 3001, 9003
The HCF of 3396,9003 is 3.
Lets's calculate GCF of 3396,9003
| 3 | 3396, 9003 |
| 1132, 3001 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3396,9003 By Matching Biggest Common Factor Method
Now, list down the factors of 3396
:1,2,3,4,6,12,283,566,849,1132,1698,3396
Now, list down the factors of 9003
:1,3,3001,9003
Greatest Common Factor
We found the factors 3396,9003 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,9003 is 3.
Lets's calculate LCM of 828,2131
Given numbers has no common factors except 1. So, there LCM is their product i.e 1764468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1764468
Therefore, the GCF of Fractions 3396/828,9003/2131 is 3/1764468
Least Common Multiple of 828,2131 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 828,2131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,2131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,2131) x common factors =1 x 1 = 1
LCM(828,2131) = ( 828 × 2131 ) / 1
LCM(828,2131) = 1764468 / 1
LCM(828,2131) = 1764468
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FAQs on GCF of Fractions of 3396/828, 9003/2131
1. What is the HCF of 3396,9003?
The HCF of 3396,9003 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 3396/828, 9003/2131?
Answer: GCF of Numerators as per given numbers 3396/828, 9003/2131 is
GCF of Numerators i.e. for 3396,9003 is 3
LCM of denominators i.e. for 828,2131 is 1764468.
Thus, GCF of Fractions is 3/1764468.Finally, GCF of Fractions for 3396/828, 9003/2131 is 3/1764468.