GCF of 9372/894, 2664/1654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9372/894, 2664/1654 i.e 12/739338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9372/894, 2664/1654.
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 9372/894,2664/1654?
Given fractions are 9372/894,2664/1654
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 9372/894,2664/1654, numerators are 9372,2664
Denominators are 894,1654
The GCF of 9372,2664 is 12 .
LCM of 894,1654 is 739338.
The greatest common factor of 9372/894,2664/1654 = [GCF of 9372,2664]/[LCM of 894,1654]= 12/739338
Therefore, the GCF of 9372/894,2664/1654 is 12/739338.
To find the highest common factor of 9372,2664, we have to find the factors of both numbers and list the highest common factor.
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664
The HCF of 9372,2664 is 12.
Lets's calculate GCF of 9372,2664
| 2 | 9372, 2664 |
| 2 | 4686, 1332 |
| 3 | 2343, 666 |
| 781, 222 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9372,2664 By Matching Biggest Common Factor Method
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Now, list down the factors of 2664
:1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Greatest Common Factor
We found the factors 9372,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 9372,2664 is 12.
Lets's calculate LCM of 894,1654
| 2 | 894, 1654 |
| 447, 827 |
∴ So the LCM of the given numbers is 2 x 447 x 827 = 739338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/739338
Therefore, the GCF of Fractions 9372/894,2664/1654 is 12/739338
Least Common Multiple of 894,1654 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 894,1654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,1654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,1654) x common factors =2 x 1 = 2
LCM(894,1654) = ( 894 × 1654 ) / 2
LCM(894,1654) = 1478676 / 2
LCM(894,1654) = 739338
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FAQs on GCF of Fractions of 9372/894, 2664/1654
1. What is the HCF of 9372,2664?
The HCF of 9372,2664 is 12
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 9372/894, 2664/1654?
Answer: GCF of Numerators as per given numbers 9372/894, 2664/1654 is
GCF of Numerators i.e. for 9372,2664 is 12
LCM of denominators i.e. for 894,1654 is 739338.
Thus, GCF of Fractions is 12/739338.Finally, GCF of Fractions for 9372/894, 2664/1654 is 12/739338.