GCF of 8350/220, 1728/7264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8350/220, 1728/7264 i.e 2/399520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8350/220, 1728/7264.
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 8350/220,1728/7264?
Given fractions are 8350/220,1728/7264
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 8350/220,1728/7264, numerators are 8350,1728
Denominators are 220,7264
The GCF of 8350,1728 is 2 .
LCM of 220,7264 is 399520.
The greatest common factor of 8350/220,1728/7264 = [GCF of 8350,1728]/[LCM of 220,7264]= 2/399520
Therefore, the GCF of 8350/220,1728/7264 is 2/399520.
To find the highest common factor of 8350,1728, we have to find the factors of both numbers and list the highest common factor.
The factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350
The factors of 1728 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, 1728
The HCF of 8350,1728 is 2.
Lets's calculate GCF of 8350,1728
| 2 | 8350, 1728 |
| 4175, 864 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8350,1728 By Matching Biggest Common Factor Method
Now, list down the factors of 8350
:1,2,5,10,25,50,167,334,835,1670,4175,8350
Now, list down the factors of 1728
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728
Greatest Common Factor
We found the factors 8350,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 8350,1728 is 2.
Lets's calculate LCM of 220,7264
| 2 | 220, 7264 |
| 2 | 110, 3632 |
| 55, 1816 |
∴ So the LCM of the given numbers is 2 x 2 x 55 x 1816 = 399520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/399520
Therefore, the GCF of Fractions 8350/220,1728/7264 is 2/399520
Least Common Multiple of 220,7264 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 220,7264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,7264) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(220,7264) x common factors =4 x 1 = 4
LCM(220,7264) = ( 220 × 7264 ) / 4
LCM(220,7264) = 1598080 / 4
LCM(220,7264) = 399520
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FAQs on GCF of Fractions of 8350/220, 1728/7264
1. What is the HCF of 8350,1728?
The HCF of 8350,1728 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 8350/220, 1728/7264?
Answer: GCF of Numerators as per given numbers 8350/220, 1728/7264 is
GCF of Numerators i.e. for 8350,1728 is 2
LCM of denominators i.e. for 220,7264 is 399520.
Thus, GCF of Fractions is 2/399520.Finally, GCF of Fractions for 8350/220, 1728/7264 is 2/399520.