GCF of 2431/844, 5404/3484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2431/844, 5404/3484 i.e 1/735124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2431/844, 5404/3484.
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 2431/844,5404/3484?
Given fractions are 2431/844,5404/3484
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 2431/844,5404/3484, numerators are 2431,5404
Denominators are 844,3484
The GCF of 2431,5404 is 1 .
LCM of 844,3484 is 735124.
The greatest common factor of 2431/844,5404/3484 = [GCF of 2431,5404]/[LCM of 844,3484]= 1/735124
Therefore, the GCF of 2431/844,5404/3484 is 1/735124.
To find the highest common factor of 2431,5404, we have to find the factors of both numbers and list the highest common factor.
The factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431
The factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404
The HCF of 2431,5404 is 1.
Lets's calculate GCF of 2431,5404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2431,5404 By Matching Biggest Common Factor Method
Now, list down the factors of 2431
:1,11,13,17,143,187,221,2431
Now, list down the factors of 5404
:1,2,4,7,14,28,193,386,772,1351,2702,5404
Greatest Common Factor
We found the factors 2431,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 2431,5404 is 1.
Lets's calculate LCM of 844,3484
| 2 | 844, 3484 |
| 2 | 422, 1742 |
| 211, 871 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 871 = 735124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/735124
Therefore, the GCF of Fractions 2431/844,5404/3484 is 1/735124
Least Common Multiple of 844,3484 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 844,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,3484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,3484) x common factors =4 x 1 = 4
LCM(844,3484) = ( 844 × 3484 ) / 4
LCM(844,3484) = 2940496 / 4
LCM(844,3484) = 735124
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FAQs on GCF of Fractions of 2431/844, 5404/3484
1. What is the HCF of 2431,5404?
The HCF of 2431,5404 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 2431/844, 5404/3484?
Answer: GCF of Numerators as per given numbers 2431/844, 5404/3484 is
GCF of Numerators i.e. for 2431,5404 is 1
LCM of denominators i.e. for 844,3484 is 735124.
Thus, GCF of Fractions is 1/735124.Finally, GCF of Fractions for 2431/844, 5404/3484 is 1/735124.