GCF of 267/560, 5743/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/560, 5743/280 i.e 1/560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/560, 5743/280.
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 267/560,5743/280?
Given fractions are 267/560,5743/280
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 267/560,5743/280, numerators are 267,5743
Denominators are 560,280
The GCF of 267,5743 is 1 .
LCM of 560,280 is 560.
The greatest common factor of 267/560,5743/280 = [GCF of 267,5743]/[LCM of 560,280]= 1/560
Therefore, the GCF of 267/560,5743/280 is 1/560.
To find the highest common factor of 267,5743, we have to find the factors of both numbers and list the highest common factor.
The factors of 267 are 1, 3, 89, 267
The factors of 5743 are 1, 5743
The HCF of 267,5743 is 1.
Lets's calculate GCF of 267,5743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 267,5743 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 5743
:1,5743
Greatest Common Factor
We found the factors 267,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 267,5743 is 1.
Lets's calculate LCM of 560,280
| 2 | 560, 280 |
| 2 | 280, 140 |
| 2 | 70, 140 |
| 5 | 35, 70 |
| 7 | 7, 14 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 1 x 2 = 560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560
Therefore, the GCF of Fractions 267/560,5743/280 is 1/560
Least Common Multiple of 560,280 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 560,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,280) = 280
common factors(in case of two or more numbers have common factors) = 1
GCF(560,280) x common factors =280 x 1 = 280
LCM(560,280) = ( 560 × 280 ) / 280
LCM(560,280) = 156800 / 280
LCM(560,280) = 560
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FAQs on GCF of Fractions of 267/560, 5743/280
1. What is the HCF of 267,5743?
The HCF of 267,5743 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 267/560, 5743/280?
Answer: GCF of Numerators as per given numbers 267/560, 5743/280 is
GCF of Numerators i.e. for 267,5743 is 1
LCM of denominators i.e. for 560,280 is 560.
Thus, GCF of Fractions is 1/560.Finally, GCF of Fractions for 267/560, 5743/280 is 1/560.