GCF of 1632/405, 7120/1021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1632/405, 7120/1021 i.e 16/413505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1632/405, 7120/1021.
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 1632/405,7120/1021?
Given fractions are 1632/405,7120/1021
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 1632/405,7120/1021, numerators are 1632,7120
Denominators are 405,1021
The GCF of 1632,7120 is 16 .
LCM of 405,1021 is 413505.
The greatest common factor of 1632/405,7120/1021 = [GCF of 1632,7120]/[LCM of 405,1021]= 16/413505
Therefore, the GCF of 1632/405,7120/1021 is 16/413505.
To find the highest common factor of 1632,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 1632,7120 is 16.
Lets's calculate GCF of 1632,7120
| 2 | 1632, 7120 |
| 2 | 816, 3560 |
| 2 | 408, 1780 |
| 2 | 204, 890 |
| 102, 445 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1632,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 1632
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 1632,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 1632,7120 is 16.
Lets's calculate LCM of 405,1021
Given numbers has no common factors except 1. So, there LCM is their product i.e 413505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/413505
Therefore, the GCF of Fractions 1632/405,7120/1021 is 16/413505
Least Common Multiple of 405,1021 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 405,1021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,1021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,1021) x common factors =1 x 1 = 1
LCM(405,1021) = ( 405 × 1021 ) / 1
LCM(405,1021) = 413505 / 1
LCM(405,1021) = 413505
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FAQs on GCF of Fractions of 1632/405, 7120/1021
1. What is the HCF of 1632,7120?
The HCF of 1632,7120 is 16
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 1632/405, 7120/1021?
Answer: GCF of Numerators as per given numbers 1632/405, 7120/1021 is
GCF of Numerators i.e. for 1632,7120 is 16
LCM of denominators i.e. for 405,1021 is 413505.
Thus, GCF of Fractions is 16/413505.Finally, GCF of Fractions for 1632/405, 7120/1021 is 16/413505.