GCF of 9268/376, 1415/9412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9268/376, 1415/9412 i.e 1/884728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9268/376, 1415/9412.
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 9268/376,1415/9412?
Given fractions are 9268/376,1415/9412
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 9268/376,1415/9412, numerators are 9268,1415
Denominators are 376,9412
The GCF of 9268,1415 is 1 .
LCM of 376,9412 is 884728.
The greatest common factor of 9268/376,1415/9412 = [GCF of 9268,1415]/[LCM of 376,9412]= 1/884728
Therefore, the GCF of 9268/376,1415/9412 is 1/884728.
To find the highest common factor of 9268,1415, we have to find the factors of both numbers and list the highest common factor.
The factors of 9268 are 1, 2, 4, 7, 14, 28, 331, 662, 1324, 2317, 4634, 9268
The factors of 1415 are 1, 5, 283, 1415
The HCF of 9268,1415 is 1.
Lets's calculate GCF of 9268,1415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9268,1415 By Matching Biggest Common Factor Method
Now, list down the factors of 9268
:1,2,4,7,14,28,331,662,1324,2317,4634,9268
Now, list down the factors of 1415
:1,5,283,1415
Greatest Common Factor
We found the factors 9268,1415 . The biggest common factor number is the GCF number.
So the greatest common factor 9268,1415 is 1.
Lets's calculate LCM of 376,9412
| 2 | 376, 9412 |
| 2 | 188, 4706 |
| 94, 2353 |
∴ So the LCM of the given numbers is 2 x 2 x 94 x 2353 = 884728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/884728
Therefore, the GCF of Fractions 9268/376,1415/9412 is 1/884728
Least Common Multiple of 376,9412 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 376,9412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,9412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(376,9412) x common factors =4 x 1 = 4
LCM(376,9412) = ( 376 × 9412 ) / 4
LCM(376,9412) = 3538912 / 4
LCM(376,9412) = 884728
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FAQs on GCF of Fractions of 9268/376, 1415/9412
1. What is the HCF of 9268,1415?
The HCF of 9268,1415 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 9268/376, 1415/9412?
Answer: GCF of Numerators as per given numbers 9268/376, 1415/9412 is
GCF of Numerators i.e. for 9268,1415 is 1
LCM of denominators i.e. for 376,9412 is 884728.
Thus, GCF of Fractions is 1/884728.Finally, GCF of Fractions for 9268/376, 1415/9412 is 1/884728.