GCF of 1343/426, 1642/2034
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1343/426, 1642/2034 i.e 1/144414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1343/426, 1642/2034.
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 1343/426,1642/2034?
Given fractions are 1343/426,1642/2034
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 1343/426,1642/2034, numerators are 1343,1642
Denominators are 426,2034
The GCF of 1343,1642 is 1 .
LCM of 426,2034 is 144414.
The greatest common factor of 1343/426,1642/2034 = [GCF of 1343,1642]/[LCM of 426,2034]= 1/144414
Therefore, the GCF of 1343/426,1642/2034 is 1/144414.
To find the highest common factor of 1343,1642, we have to find the factors of both numbers and list the highest common factor.
The factors of 1343 are 1, 17, 79, 1343
The factors of 1642 are 1, 2, 821, 1642
The HCF of 1343,1642 is 1.
Lets's calculate GCF of 1343,1642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1343,1642 By Matching Biggest Common Factor Method
Now, list down the factors of 1343
:1,17,79,1343
Now, list down the factors of 1642
:1,2,821,1642
Greatest Common Factor
We found the factors 1343,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 1343,1642 is 1.
Lets's calculate LCM of 426,2034
| 2 | 426, 2034 |
| 3 | 213, 1017 |
| 71, 339 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 339 = 144414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144414
Therefore, the GCF of Fractions 1343/426,1642/2034 is 1/144414
Least Common Multiple of 426,2034 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 426,2034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,2034) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(426,2034) x common factors =6 x 1 = 6
LCM(426,2034) = ( 426 × 2034 ) / 6
LCM(426,2034) = 866484 / 6
LCM(426,2034) = 144414
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FAQs on GCF of Fractions of 1343/426, 1642/2034
1. What is the HCF of 1343,1642?
The HCF of 1343,1642 is 1
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 1343/426, 1642/2034?
Answer: GCF of Numerators as per given numbers 1343/426, 1642/2034 is
GCF of Numerators i.e. for 1343,1642 is 1
LCM of denominators i.e. for 426,2034 is 144414.
Thus, GCF of Fractions is 1/144414.Finally, GCF of Fractions for 1343/426, 1642/2034 is 1/144414.