GCF of 5746/264, 2444/3213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5746/264, 2444/3213 i.e 26/282744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5746/264, 2444/3213.
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 5746/264,2444/3213?
Given fractions are 5746/264,2444/3213
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 5746/264,2444/3213, numerators are 5746,2444
Denominators are 264,3213
The GCF of 5746,2444 is 26 .
LCM of 264,3213 is 282744.
The greatest common factor of 5746/264,2444/3213 = [GCF of 5746,2444]/[LCM of 264,3213]= 26/282744
Therefore, the GCF of 5746/264,2444/3213 is 26/282744.
To find the highest common factor of 5746,2444, we have to find the factors of both numbers and list the highest common factor.
The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746
The factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444
The HCF of 5746,2444 is 26.
Lets's calculate GCF of 5746,2444
| 2 | 5746, 2444 |
| 13 | 2873, 1222 |
| 221, 94 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 5746,2444 By Matching Biggest Common Factor Method
Now, list down the factors of 5746
:1,2,13,17,26,34,169,221,338,442,2873,5746
Now, list down the factors of 2444
:1,2,4,13,26,47,52,94,188,611,1222,2444
Greatest Common Factor
We found the factors 5746,2444 . The biggest common factor number is the GCF number.
So the greatest common factor 5746,2444 is 26.
Lets's calculate LCM of 264,3213
| 3 | 264, 3213 |
| 88, 1071 |
∴ So the LCM of the given numbers is 3 x 88 x 1071 = 282744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/282744
Therefore, the GCF of Fractions 5746/264,2444/3213 is 26/282744
Least Common Multiple of 264,3213 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 264,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,3213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(264,3213) x common factors =3 x 1 = 3
LCM(264,3213) = ( 264 × 3213 ) / 3
LCM(264,3213) = 848232 / 3
LCM(264,3213) = 282744
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FAQs on GCF of Fractions of 5746/264, 2444/3213
1. What is the HCF of 5746,2444?
The HCF of 5746,2444 is 26
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 5746/264, 2444/3213?
Answer: GCF of Numerators as per given numbers 5746/264, 2444/3213 is
GCF of Numerators i.e. for 5746,2444 is 26
LCM of denominators i.e. for 264,3213 is 282744.
Thus, GCF of Fractions is 26/282744.Finally, GCF of Fractions for 5746/264, 2444/3213 is 26/282744.