GCF of 1444/428, 4578/1069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1444/428, 4578/1069 i.e 2/457532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1444/428, 4578/1069.
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 1444/428,4578/1069?
Given fractions are 1444/428,4578/1069
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 1444/428,4578/1069, numerators are 1444,4578
Denominators are 428,1069
The GCF of 1444,4578 is 2 .
LCM of 428,1069 is 457532.
The greatest common factor of 1444/428,4578/1069 = [GCF of 1444,4578]/[LCM of 428,1069]= 2/457532
Therefore, the GCF of 1444/428,4578/1069 is 2/457532.
To find the highest common factor of 1444,4578, we have to find the factors of both numbers and list the highest common factor.
The factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444
The factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578
The HCF of 1444,4578 is 2.
Lets's calculate GCF of 1444,4578
| 2 | 1444, 4578 |
| 722, 2289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1444,4578 By Matching Biggest Common Factor Method
Now, list down the factors of 1444
:1,2,4,19,38,76,361,722,1444
Now, list down the factors of 4578
:1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578
Greatest Common Factor
We found the factors 1444,4578 . The biggest common factor number is the GCF number.
So the greatest common factor 1444,4578 is 2.
Lets's calculate LCM of 428,1069
Given numbers has no common factors except 1. So, there LCM is their product i.e 457532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/457532
Therefore, the GCF of Fractions 1444/428,4578/1069 is 2/457532
Least Common Multiple of 428,1069 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 428,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,1069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,1069) x common factors =1 x 1 = 1
LCM(428,1069) = ( 428 × 1069 ) / 1
LCM(428,1069) = 457532 / 1
LCM(428,1069) = 457532
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FAQs on GCF of Fractions of 1444/428, 4578/1069
1. What is the HCF of 1444,4578?
The HCF of 1444,4578 is 2
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 1444/428, 4578/1069?
Answer: GCF of Numerators as per given numbers 1444/428, 4578/1069 is
GCF of Numerators i.e. for 1444,4578 is 2
LCM of denominators i.e. for 428,1069 is 457532.
Thus, GCF of Fractions is 2/457532.Finally, GCF of Fractions for 1444/428, 4578/1069 is 2/457532.