GCF of 3411/638, 1743/3474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3411/638, 1743/3474 i.e 3/1108206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3411/638, 1743/3474.
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 3411/638,1743/3474?
Given fractions are 3411/638,1743/3474
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 3411/638,1743/3474, numerators are 3411,1743
Denominators are 638,3474
The GCF of 3411,1743 is 3 .
LCM of 638,3474 is 1108206.
The greatest common factor of 3411/638,1743/3474 = [GCF of 3411,1743]/[LCM of 638,3474]= 3/1108206
Therefore, the GCF of 3411/638,1743/3474 is 3/1108206.
To find the highest common factor of 3411,1743, we have to find the factors of both numbers and list the highest common factor.
The factors of 3411 are 1, 3, 9, 379, 1137, 3411
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743
The HCF of 3411,1743 is 3.
Lets's calculate GCF of 3411,1743
| 3 | 3411, 1743 |
| 1137, 581 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3411,1743 By Matching Biggest Common Factor Method
Now, list down the factors of 3411
:1,3,9,379,1137,3411
Now, list down the factors of 1743
:1,3,7,21,83,249,581,1743
Greatest Common Factor
We found the factors 3411,1743 . The biggest common factor number is the GCF number.
So the greatest common factor 3411,1743 is 3.
Lets's calculate LCM of 638,3474
| 2 | 638, 3474 |
| 319, 1737 |
∴ So the LCM of the given numbers is 2 x 319 x 1737 = 1108206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1108206
Therefore, the GCF of Fractions 3411/638,1743/3474 is 3/1108206
Least Common Multiple of 638,3474 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 638,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,3474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,3474) x common factors =2 x 1 = 2
LCM(638,3474) = ( 638 × 3474 ) / 2
LCM(638,3474) = 2216412 / 2
LCM(638,3474) = 1108206
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3411/638, 1743/3474
1. What is the HCF of 3411,1743?
The HCF of 3411,1743 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 3411/638, 1743/3474?
Answer: GCF of Numerators as per given numbers 3411/638, 1743/3474 is
GCF of Numerators i.e. for 3411,1743 is 3
LCM of denominators i.e. for 638,3474 is 1108206.
Thus, GCF of Fractions is 3/1108206.Finally, GCF of Fractions for 3411/638, 1743/3474 is 3/1108206.