GCF of 267/413, 3651/127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 267/413, 3651/127 i.e 3/52451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 267/413, 3651/127.
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 267/413,3651/127?
Given fractions are 267/413,3651/127
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 267/413,3651/127, numerators are 267,3651
Denominators are 413,127
The GCF of 267,3651 is 3 .
LCM of 413,127 is 52451.
The greatest common factor of 267/413,3651/127 = [GCF of 267,3651]/[LCM of 413,127]= 3/52451
Therefore, the GCF of 267/413,3651/127 is 3/52451.
To find the highest common factor of 267,3651, 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 3651 are 1, 3, 1217, 3651
The HCF of 267,3651 is 3.
Lets's calculate GCF of 267,3651
| 3 | 267, 3651 |
| 89, 1217 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 267,3651 By Matching Biggest Common Factor Method
Now, list down the factors of 267
:1,3,89,267
Now, list down the factors of 3651
:1,3,1217,3651
Greatest Common Factor
We found the factors 267,3651 . The biggest common factor number is the GCF number.
So the greatest common factor 267,3651 is 3.
Lets's calculate LCM of 413,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 52451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52451
Therefore, the GCF of Fractions 267/413,3651/127 is 3/52451
Least Common Multiple of 413,127 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 413,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,127) x common factors =1 x 1 = 1
LCM(413,127) = ( 413 × 127 ) / 1
LCM(413,127) = 52451 / 1
LCM(413,127) = 52451
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FAQs on GCF of Fractions of 267/413, 3651/127
1. What is the HCF of 267,3651?
The HCF of 267,3651 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 267/413, 3651/127?
Answer: GCF of Numerators as per given numbers 267/413, 3651/127 is
GCF of Numerators i.e. for 267,3651 is 3
LCM of denominators i.e. for 413,127 is 52451.
Thus, GCF of Fractions is 3/52451.Finally, GCF of Fractions for 267/413, 3651/127 is 3/52451.