GCF of 9622/264, 8336/1371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9622/264, 8336/1371 i.e 2/120648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9622/264, 8336/1371.
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 9622/264,8336/1371?
Given fractions are 9622/264,8336/1371
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 9622/264,8336/1371, numerators are 9622,8336
Denominators are 264,1371
The GCF of 9622,8336 is 2 .
LCM of 264,1371 is 120648.
The greatest common factor of 9622/264,8336/1371 = [GCF of 9622,8336]/[LCM of 264,1371]= 2/120648
Therefore, the GCF of 9622/264,8336/1371 is 2/120648.
To find the highest common factor of 9622,8336, we have to find the factors of both numbers and list the highest common factor.
The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622
The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The HCF of 9622,8336 is 2.
Lets's calculate GCF of 9622,8336
| 2 | 9622, 8336 |
| 4811, 4168 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9622,8336 By Matching Biggest Common Factor Method
Now, list down the factors of 9622
:1,2,17,34,283,566,4811,9622
Now, list down the factors of 8336
:1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 9622,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 9622,8336 is 2.
Lets's calculate LCM of 264,1371
| 3 | 264, 1371 |
| 88, 457 |
∴ So the LCM of the given numbers is 3 x 88 x 457 = 120648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120648
Therefore, the GCF of Fractions 9622/264,8336/1371 is 2/120648
Least Common Multiple of 264,1371 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 264,1371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,1371) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(264,1371) x common factors =3 x 1 = 3
LCM(264,1371) = ( 264 × 1371 ) / 3
LCM(264,1371) = 361944 / 3
LCM(264,1371) = 120648
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FAQs on GCF of Fractions of 9622/264, 8336/1371
1. What is the HCF of 9622,8336?
The HCF of 9622,8336 is 2
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 9622/264, 8336/1371?
Answer: GCF of Numerators as per given numbers 9622/264, 8336/1371 is
GCF of Numerators i.e. for 9622,8336 is 2
LCM of denominators i.e. for 264,1371 is 120648.
Thus, GCF of Fractions is 2/120648.Finally, GCF of Fractions for 9622/264, 8336/1371 is 2/120648.