GCF of 267/23, 876/9443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/23, 876/9443 i.e 3/217189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/23, 876/9443.
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 267/23,876/9443?
Given fractions are 267/23,876/9443
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 267/23,876/9443, numerators are 267,876
Denominators are 23,9443
The GCF of 267,876 is 3 .
LCM of 23,9443 is 217189.
The greatest common factor of 267/23,876/9443 = [GCF of 267,876]/[LCM of 23,9443]= 3/217189
Therefore, the GCF of 267/23,876/9443 is 3/217189.
To find the highest common factor of 267,876, 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 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The HCF of 267,876 is 3.
Lets's calculate GCF of 267,876
| 3 | 267, 876 |
| 89, 292 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 267,876 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 267,876 . The biggest common factor number is the GCF number.
So the greatest common factor 267,876 is 3.
Lets's calculate LCM of 23,9443
Given numbers has no common factors except 1. So, there LCM is their product i.e 217189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/217189
Therefore, the GCF of Fractions 267/23,876/9443 is 3/217189
Least Common Multiple of 23,9443 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 23,9443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,9443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,9443) x common factors =1 x 1 = 1
LCM(23,9443) = ( 23 × 9443 ) / 1
LCM(23,9443) = 217189 / 1
LCM(23,9443) = 217189
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FAQs on GCF of Fractions of 267/23, 876/9443
1. What is the HCF of 267,876?
The HCF of 267,876 is 3
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 267/23, 876/9443?
Answer: GCF of Numerators as per given numbers 267/23, 876/9443 is
GCF of Numerators i.e. for 267,876 is 3
LCM of denominators i.e. for 23,9443 is 217189.
Thus, GCF of Fractions is 3/217189.Finally, GCF of Fractions for 267/23, 876/9443 is 3/217189.