GCF of 4006/124, 9257/8454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4006/124, 9257/8454 i.e 1/524148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4006/124, 9257/8454.
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 4006/124,9257/8454?
Given fractions are 4006/124,9257/8454
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 4006/124,9257/8454, numerators are 4006,9257
Denominators are 124,8454
The GCF of 4006,9257 is 1 .
LCM of 124,8454 is 524148.
The greatest common factor of 4006/124,9257/8454 = [GCF of 4006,9257]/[LCM of 124,8454]= 1/524148
Therefore, the GCF of 4006/124,9257/8454 is 1/524148.
To find the highest common factor of 4006,9257, we have to find the factors of both numbers and list the highest common factor.
The factors of 4006 are 1, 2, 2003, 4006
The factors of 9257 are 1, 9257
The HCF of 4006,9257 is 1.
Lets's calculate GCF of 4006,9257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4006,9257 By Matching Biggest Common Factor Method
Now, list down the factors of 4006
:1,2,2003,4006
Now, list down the factors of 9257
:1,9257
Greatest Common Factor
We found the factors 4006,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 4006,9257 is 1.
Lets's calculate LCM of 124,8454
| 2 | 124, 8454 |
| 62, 4227 |
∴ So the LCM of the given numbers is 2 x 62 x 4227 = 524148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524148
Therefore, the GCF of Fractions 4006/124,9257/8454 is 1/524148
Least Common Multiple of 124,8454 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 124,8454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,8454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,8454) x common factors =2 x 1 = 2
LCM(124,8454) = ( 124 × 8454 ) / 2
LCM(124,8454) = 1048296 / 2
LCM(124,8454) = 524148
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FAQs on GCF of Fractions of 4006/124, 9257/8454
1. What is the HCF of 4006,9257?
The HCF of 4006,9257 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 4006/124, 9257/8454?
Answer: GCF of Numerators as per given numbers 4006/124, 9257/8454 is
GCF of Numerators i.e. for 4006,9257 is 1
LCM of denominators i.e. for 124,8454 is 524148.
Thus, GCF of Fractions is 1/524148.Finally, GCF of Fractions for 4006/124, 9257/8454 is 1/524148.