GCF of 1447/579, 1430/1020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1447/579, 1430/1020 i.e 1/196860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1447/579, 1430/1020.
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 1447/579,1430/1020?
Given fractions are 1447/579,1430/1020
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 1447/579,1430/1020, numerators are 1447,1430
Denominators are 579,1020
The GCF of 1447,1430 is 1 .
LCM of 579,1020 is 196860.
The greatest common factor of 1447/579,1430/1020 = [GCF of 1447,1430]/[LCM of 579,1020]= 1/196860
Therefore, the GCF of 1447/579,1430/1020 is 1/196860.
To find the highest common factor of 1447,1430, we have to find the factors of both numbers and list the highest common factor.
The factors of 1447 are 1, 1447
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The HCF of 1447,1430 is 1.
Lets's calculate GCF of 1447,1430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1447,1430 By Matching Biggest Common Factor Method
Now, list down the factors of 1447
:1,1447
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors 1447,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 1447,1430 is 1.
Lets's calculate LCM of 579,1020
| 3 | 579, 1020 |
| 193, 340 |
∴ So the LCM of the given numbers is 3 x 193 x 340 = 196860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196860
Therefore, the GCF of Fractions 1447/579,1430/1020 is 1/196860
Least Common Multiple of 579,1020 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 579,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,1020) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,1020) x common factors =3 x 1 = 3
LCM(579,1020) = ( 579 × 1020 ) / 3
LCM(579,1020) = 590580 / 3
LCM(579,1020) = 196860
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FAQs on GCF of Fractions of 1447/579, 1430/1020
1. What is the HCF of 1447,1430?
The HCF of 1447,1430 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 1447/579, 1430/1020?
Answer: GCF of Numerators as per given numbers 1447/579, 1430/1020 is
GCF of Numerators i.e. for 1447,1430 is 1
LCM of denominators i.e. for 579,1020 is 196860.
Thus, GCF of Fractions is 1/196860.Finally, GCF of Fractions for 1447/579, 1430/1020 is 1/196860.