GCF of 1334/440, 5543/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1334/440, 5543/282 i.e 23/62040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1334/440, 5543/282.
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 1334/440,5543/282?
Given fractions are 1334/440,5543/282
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 1334/440,5543/282, numerators are 1334,5543
Denominators are 440,282
The GCF of 1334,5543 is 23 .
LCM of 440,282 is 62040.
The greatest common factor of 1334/440,5543/282 = [GCF of 1334,5543]/[LCM of 440,282]= 23/62040
Therefore, the GCF of 1334/440,5543/282 is 23/62040.
To find the highest common factor of 1334,5543, we have to find the factors of both numbers and list the highest common factor.
The factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334
The factors of 5543 are 1, 23, 241, 5543
The HCF of 1334,5543 is 23.
Lets's calculate GCF of 1334,5543
| 23 | 1334, 5543 |
| 58, 241 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1334,5543 By Matching Biggest Common Factor Method
Now, list down the factors of 1334
:1,2,23,29,46,58,667,1334
Now, list down the factors of 5543
:1,23,241,5543
Greatest Common Factor
We found the factors 1334,5543 . The biggest common factor number is the GCF number.
So the greatest common factor 1334,5543 is 23.
Lets's calculate LCM of 440,282
| 2 | 440, 282 |
| 220, 141 |
∴ So the LCM of the given numbers is 2 x 220 x 141 = 62040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/62040
Therefore, the GCF of Fractions 1334/440,5543/282 is 23/62040
Least Common Multiple of 440,282 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 440,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(440,282) x common factors =2 x 1 = 2
LCM(440,282) = ( 440 × 282 ) / 2
LCM(440,282) = 124080 / 2
LCM(440,282) = 62040
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FAQs on GCF of Fractions of 1334/440, 5543/282
1. What is the HCF of 1334,5543?
The HCF of 1334,5543 is 23
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 1334/440, 5543/282?
Answer: GCF of Numerators as per given numbers 1334/440, 5543/282 is
GCF of Numerators i.e. for 1334,5543 is 23
LCM of denominators i.e. for 440,282 is 62040.
Thus, GCF of Fractions is 23/62040.Finally, GCF of Fractions for 1334/440, 5543/282 is 23/62040.