GCF of 5544/591, 7473/7923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5544/591, 7473/7923 i.e 3/1560831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5544/591, 7473/7923.
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 5544/591,7473/7923?
Given fractions are 5544/591,7473/7923
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 5544/591,7473/7923, numerators are 5544,7473
Denominators are 591,7923
The GCF of 5544,7473 is 3 .
LCM of 591,7923 is 1560831.
The greatest common factor of 5544/591,7473/7923 = [GCF of 5544,7473]/[LCM of 591,7923]= 3/1560831
Therefore, the GCF of 5544/591,7473/7923 is 3/1560831.
To find the highest common factor of 5544,7473, we have to find the factors of both numbers and list the highest common factor.
The factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544
The factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473
The HCF of 5544,7473 is 3.
Lets's calculate GCF of 5544,7473
| 3 | 5544, 7473 |
| 1848, 2491 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5544,7473 By Matching Biggest Common Factor Method
Now, list down the factors of 5544
:1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Now, list down the factors of 7473
:1,3,47,53,141,159,2491,7473
Greatest Common Factor
We found the factors 5544,7473 . The biggest common factor number is the GCF number.
So the greatest common factor 5544,7473 is 3.
Lets's calculate LCM of 591,7923
| 3 | 591, 7923 |
| 197, 2641 |
∴ So the LCM of the given numbers is 3 x 197 x 2641 = 1560831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1560831
Therefore, the GCF of Fractions 5544/591,7473/7923 is 3/1560831
Least Common Multiple of 591,7923 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 591,7923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,7923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,7923) x common factors =3 x 1 = 3
LCM(591,7923) = ( 591 × 7923 ) / 3
LCM(591,7923) = 4682493 / 3
LCM(591,7923) = 1560831
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FAQs on GCF of Fractions of 5544/591, 7473/7923
1. What is the HCF of 5544,7473?
The HCF of 5544,7473 is 3
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 5544/591, 7473/7923?
Answer: GCF of Numerators as per given numbers 5544/591, 7473/7923 is
GCF of Numerators i.e. for 5544,7473 is 3
LCM of denominators i.e. for 591,7923 is 1560831.
Thus, GCF of Fractions is 3/1560831.Finally, GCF of Fractions for 5544/591, 7473/7923 is 3/1560831.