GCF of 2023/272, 8071/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2023/272, 8071/160 i.e 7/2720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2023/272, 8071/160.
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 2023/272,8071/160?
Given fractions are 2023/272,8071/160
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 2023/272,8071/160, numerators are 2023,8071
Denominators are 272,160
The GCF of 2023,8071 is 7 .
LCM of 272,160 is 2720.
The greatest common factor of 2023/272,8071/160 = [GCF of 2023,8071]/[LCM of 272,160]= 7/2720
Therefore, the GCF of 2023/272,8071/160 is 7/2720.
To find the highest common factor of 2023,8071, we have to find the factors of both numbers and list the highest common factor.
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The factors of 8071 are 1, 7, 1153, 8071
The HCF of 2023,8071 is 7.
Lets's calculate GCF of 2023,8071
| 7 | 2023, 8071 |
| 289, 1153 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2023,8071 By Matching Biggest Common Factor Method
Now, list down the factors of 2023
:1,7,17,119,289,2023
Now, list down the factors of 8071
:1,7,1153,8071
Greatest Common Factor
We found the factors 2023,8071 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,8071 is 7.
Lets's calculate LCM of 272,160
| 2 | 272, 160 |
| 2 | 136, 80 |
| 2 | 68, 40 |
| 2 | 34, 20 |
| 17, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 10 = 2720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2720
Therefore, the GCF of Fractions 2023/272,8071/160 is 7/2720
Least Common Multiple of 272,160 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 272,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,160) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(272,160) x common factors =16 x 1 = 16
LCM(272,160) = ( 272 × 160 ) / 16
LCM(272,160) = 43520 / 16
LCM(272,160) = 2720
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FAQs on GCF of Fractions of 2023/272, 8071/160
1. What is the HCF of 2023,8071?
The HCF of 2023,8071 is 7
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 2023/272, 8071/160?
Answer: GCF of Numerators as per given numbers 2023/272, 8071/160 is
GCF of Numerators i.e. for 2023,8071 is 7
LCM of denominators i.e. for 272,160 is 2720.
Thus, GCF of Fractions is 7/2720.Finally, GCF of Fractions for 2023/272, 8071/160 is 7/2720.