GCF of 5532/132, 2772/864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5532/132, 2772/864 i.e 12/9504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5532/132, 2772/864.
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 5532/132,2772/864?
Given fractions are 5532/132,2772/864
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 5532/132,2772/864, numerators are 5532,2772
Denominators are 132,864
The GCF of 5532,2772 is 12 .
LCM of 132,864 is 9504.
The greatest common factor of 5532/132,2772/864 = [GCF of 5532,2772]/[LCM of 132,864]= 12/9504
Therefore, the GCF of 5532/132,2772/864 is 12/9504.
To find the highest common factor of 5532,2772, we have to find the factors of both numbers and list the highest common factor.
The factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532
The factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772
The HCF of 5532,2772 is 12.
Lets's calculate GCF of 5532,2772
| 2 | 5532, 2772 |
| 2 | 2766, 1386 |
| 3 | 1383, 693 |
| 461, 231 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5532,2772 By Matching Biggest Common Factor Method
Now, list down the factors of 5532
:1,2,3,4,6,12,461,922,1383,1844,2766,5532
Now, list down the factors of 2772
:1,2,3,4,6,7,9,11,12,14,18,21,22,28,33,36,42,44,63,66,77,84,99,126,132,154,198,231,252,308,396,462,693,924,1386,2772
Greatest Common Factor
We found the factors 5532,2772 . The biggest common factor number is the GCF number.
So the greatest common factor 5532,2772 is 12.
Lets's calculate LCM of 132,864
| 2 | 132, 864 |
| 2 | 66, 432 |
| 3 | 33, 216 |
| 11, 72 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 72 = 9504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9504
Therefore, the GCF of Fractions 5532/132,2772/864 is 12/9504
Least Common Multiple of 132,864 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 132,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,864) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(132,864) x common factors =12 x 1 = 12
LCM(132,864) = ( 132 × 864 ) / 12
LCM(132,864) = 114048 / 12
LCM(132,864) = 9504
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FAQs on GCF of Fractions of 5532/132, 2772/864
1. What is the HCF of 5532,2772?
The HCF of 5532,2772 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 5532/132, 2772/864?
Answer: GCF of Numerators as per given numbers 5532/132, 2772/864 is
GCF of Numerators i.e. for 5532,2772 is 12
LCM of denominators i.e. for 132,864 is 9504.
Thus, GCF of Fractions is 12/9504.Finally, GCF of Fractions for 5532/132, 2772/864 is 12/9504.