GCF of 1440/129, 3452/4647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1440/129, 3452/4647 i.e 4/199821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1440/129, 3452/4647.
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 1440/129,3452/4647?
Given fractions are 1440/129,3452/4647
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 1440/129,3452/4647, numerators are 1440,3452
Denominators are 129,4647
The GCF of 1440,3452 is 4 .
LCM of 129,4647 is 199821.
The greatest common factor of 1440/129,3452/4647 = [GCF of 1440,3452]/[LCM of 129,4647]= 4/199821
Therefore, the GCF of 1440/129,3452/4647 is 4/199821.
To find the highest common factor of 1440,3452, we have to find the factors of both numbers and list the highest common factor.
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The factors of 3452 are 1, 2, 4, 863, 1726, 3452
The HCF of 1440,3452 is 4.
Lets's calculate GCF of 1440,3452
| 2 | 1440, 3452 |
| 2 | 720, 1726 |
| 360, 863 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1440,3452 By Matching Biggest Common Factor Method
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Now, list down the factors of 3452
:1,2,4,863,1726,3452
Greatest Common Factor
We found the factors 1440,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 1440,3452 is 4.
Lets's calculate LCM of 129,4647
| 3 | 129, 4647 |
| 43, 1549 |
∴ So the LCM of the given numbers is 3 x 43 x 1549 = 199821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/199821
Therefore, the GCF of Fractions 1440/129,3452/4647 is 4/199821
Least Common Multiple of 129,4647 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 129,4647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,4647) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,4647) x common factors =3 x 1 = 3
LCM(129,4647) = ( 129 × 4647 ) / 3
LCM(129,4647) = 599463 / 3
LCM(129,4647) = 199821
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FAQs on GCF of Fractions of 1440/129, 3452/4647
1. What is the HCF of 1440,3452?
The HCF of 1440,3452 is 4
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 1440/129, 3452/4647?
Answer: GCF of Numerators as per given numbers 1440/129, 3452/4647 is
GCF of Numerators i.e. for 1440,3452 is 4
LCM of denominators i.e. for 129,4647 is 199821.
Thus, GCF of Fractions is 4/199821.Finally, GCF of Fractions for 1440/129, 3452/4647 is 4/199821.