GCF of 2593/462, 7293/1434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2593/462, 7293/1434 i.e 1/110418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2593/462, 7293/1434.
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 2593/462,7293/1434?
Given fractions are 2593/462,7293/1434
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 2593/462,7293/1434, numerators are 2593,7293
Denominators are 462,1434
The GCF of 2593,7293 is 1 .
LCM of 462,1434 is 110418.
The greatest common factor of 2593/462,7293/1434 = [GCF of 2593,7293]/[LCM of 462,1434]= 1/110418
Therefore, the GCF of 2593/462,7293/1434 is 1/110418.
To find the highest common factor of 2593,7293, we have to find the factors of both numbers and list the highest common factor.
The factors of 2593 are 1, 2593
The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293
The HCF of 2593,7293 is 1.
Lets's calculate GCF of 2593,7293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2593,7293 By Matching Biggest Common Factor Method
Now, list down the factors of 2593
:1,2593
Now, list down the factors of 7293
:1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293
Greatest Common Factor
We found the factors 2593,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 2593,7293 is 1.
Lets's calculate LCM of 462,1434
| 2 | 462, 1434 |
| 3 | 231, 717 |
| 77, 239 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 239 = 110418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110418
Therefore, the GCF of Fractions 2593/462,7293/1434 is 1/110418
Least Common Multiple of 462,1434 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 462,1434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,1434) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(462,1434) x common factors =6 x 1 = 6
LCM(462,1434) = ( 462 × 1434 ) / 6
LCM(462,1434) = 662508 / 6
LCM(462,1434) = 110418
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FAQs on GCF of Fractions of 2593/462, 7293/1434
1. What is the HCF of 2593,7293?
The HCF of 2593,7293 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 2593/462, 7293/1434?
Answer: GCF of Numerators as per given numbers 2593/462, 7293/1434 is
GCF of Numerators i.e. for 2593,7293 is 1
LCM of denominators i.e. for 462,1434 is 110418.
Thus, GCF of Fractions is 1/110418.Finally, GCF of Fractions for 2593/462, 7293/1434 is 1/110418.