GCF of 9267/592, 9141/2807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9267/592, 9141/2807 i.e 3/1661744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9267/592, 9141/2807.
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 9267/592,9141/2807?
Given fractions are 9267/592,9141/2807
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 9267/592,9141/2807, numerators are 9267,9141
Denominators are 592,2807
The GCF of 9267,9141 is 3 .
LCM of 592,2807 is 1661744.
The greatest common factor of 9267/592,9141/2807 = [GCF of 9267,9141]/[LCM of 592,2807]= 3/1661744
Therefore, the GCF of 9267/592,9141/2807 is 3/1661744.
To find the highest common factor of 9267,9141, we have to find the factors of both numbers and list the highest common factor.
The factors of 9267 are 1, 3, 3089, 9267
The factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141
The HCF of 9267,9141 is 3.
Lets's calculate GCF of 9267,9141
| 3 | 9267, 9141 |
| 3089, 3047 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9267,9141 By Matching Biggest Common Factor Method
Now, list down the factors of 9267
:1,3,3089,9267
Now, list down the factors of 9141
:1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors 9267,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 9267,9141 is 3.
Lets's calculate LCM of 592,2807
Given numbers has no common factors except 1. So, there LCM is their product i.e 1661744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1661744
Therefore, the GCF of Fractions 9267/592,9141/2807 is 3/1661744
Least Common Multiple of 592,2807 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 592,2807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,2807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(592,2807) x common factors =1 x 1 = 1
LCM(592,2807) = ( 592 × 2807 ) / 1
LCM(592,2807) = 1661744 / 1
LCM(592,2807) = 1661744
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FAQs on GCF of Fractions of 9267/592, 9141/2807
1. What is the HCF of 9267,9141?
The HCF of 9267,9141 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 9267/592, 9141/2807?
Answer: GCF of Numerators as per given numbers 9267/592, 9141/2807 is
GCF of Numerators i.e. for 9267,9141 is 3
LCM of denominators i.e. for 592,2807 is 1661744.
Thus, GCF of Fractions is 3/1661744.Finally, GCF of Fractions for 9267/592, 9141/2807 is 3/1661744.