GCF of 1425/267, 9099/6469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1425/267, 9099/6469 i.e 3/1727223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1425/267, 9099/6469.
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 1425/267,9099/6469?
Given fractions are 1425/267,9099/6469
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 1425/267,9099/6469, numerators are 1425,9099
Denominators are 267,6469
The GCF of 1425,9099 is 3 .
LCM of 267,6469 is 1727223.
The greatest common factor of 1425/267,9099/6469 = [GCF of 1425,9099]/[LCM of 267,6469]= 3/1727223
Therefore, the GCF of 1425/267,9099/6469 is 3/1727223.
To find the highest common factor of 1425,9099, we have to find the factors of both numbers and list the highest common factor.
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425
The factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099
The HCF of 1425,9099 is 3.
Lets's calculate GCF of 1425,9099
| 3 | 1425, 9099 |
| 475, 3033 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1425,9099 By Matching Biggest Common Factor Method
Now, list down the factors of 1425
:1,3,5,15,19,25,57,75,95,285,475,1425
Now, list down the factors of 9099
:1,3,9,27,337,1011,3033,9099
Greatest Common Factor
We found the factors 1425,9099 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,9099 is 3.
Lets's calculate LCM of 267,6469
Given numbers has no common factors except 1. So, there LCM is their product i.e 1727223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1727223
Therefore, the GCF of Fractions 1425/267,9099/6469 is 3/1727223
Least Common Multiple of 267,6469 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 267,6469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,6469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,6469) x common factors =1 x 1 = 1
LCM(267,6469) = ( 267 × 6469 ) / 1
LCM(267,6469) = 1727223 / 1
LCM(267,6469) = 1727223
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FAQs on GCF of Fractions of 1425/267, 9099/6469
1. What is the HCF of 1425,9099?
The HCF of 1425,9099 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 1425/267, 9099/6469?
Answer: GCF of Numerators as per given numbers 1425/267, 9099/6469 is
GCF of Numerators i.e. for 1425,9099 is 3
LCM of denominators i.e. for 267,6469 is 1727223.
Thus, GCF of Fractions is 3/1727223.Finally, GCF of Fractions for 1425/267, 9099/6469 is 3/1727223.