GCF of 3324/722, 8664/4462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3324/722, 8664/4462 i.e 12/1610782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3324/722, 8664/4462.
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 3324/722,8664/4462?
Given fractions are 3324/722,8664/4462
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 3324/722,8664/4462, numerators are 3324,8664
Denominators are 722,4462
The GCF of 3324,8664 is 12 .
LCM of 722,4462 is 1610782.
The greatest common factor of 3324/722,8664/4462 = [GCF of 3324,8664]/[LCM of 722,4462]= 12/1610782
Therefore, the GCF of 3324/722,8664/4462 is 12/1610782.
To find the highest common factor of 3324,8664, we have to find the factors of both numbers and list the highest common factor.
The factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324
The factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664
The HCF of 3324,8664 is 12.
Lets's calculate GCF of 3324,8664
| 2 | 3324, 8664 |
| 2 | 1662, 4332 |
| 3 | 831, 2166 |
| 277, 722 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3324,8664 By Matching Biggest Common Factor Method
Now, list down the factors of 3324
:1,2,3,4,6,12,277,554,831,1108,1662,3324
Now, list down the factors of 8664
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 3324,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 3324,8664 is 12.
Lets's calculate LCM of 722,4462
| 2 | 722, 4462 |
| 361, 2231 |
∴ So the LCM of the given numbers is 2 x 361 x 2231 = 1610782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1610782
Therefore, the GCF of Fractions 3324/722,8664/4462 is 12/1610782
Least Common Multiple of 722,4462 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 722,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,4462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,4462) x common factors =2 x 1 = 2
LCM(722,4462) = ( 722 × 4462 ) / 2
LCM(722,4462) = 3221564 / 2
LCM(722,4462) = 1610782
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FAQs on GCF of Fractions of 3324/722, 8664/4462
1. What is the HCF of 3324,8664?
The HCF of 3324,8664 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 3324/722, 8664/4462?
Answer: GCF of Numerators as per given numbers 3324/722, 8664/4462 is
GCF of Numerators i.e. for 3324,8664 is 12
LCM of denominators i.e. for 722,4462 is 1610782.
Thus, GCF of Fractions is 12/1610782.Finally, GCF of Fractions for 3324/722, 8664/4462 is 12/1610782.