GCF of 5244/675, 4576/5499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5244/675, 4576/5499 i.e 4/412425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5244/675, 4576/5499.
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 5244/675,4576/5499?
Given fractions are 5244/675,4576/5499
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 5244/675,4576/5499, numerators are 5244,4576
Denominators are 675,5499
The GCF of 5244,4576 is 4 .
LCM of 675,5499 is 412425.
The greatest common factor of 5244/675,4576/5499 = [GCF of 5244,4576]/[LCM of 675,5499]= 4/412425
Therefore, the GCF of 5244/675,4576/5499 is 4/412425.
To find the highest common factor of 5244,4576, we have to find the factors of both numbers and list the highest common factor.
The factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244
The factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576
The HCF of 5244,4576 is 4.
Lets's calculate GCF of 5244,4576
| 2 | 5244, 4576 |
| 2 | 2622, 2288 |
| 1311, 1144 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5244,4576 By Matching Biggest Common Factor Method
Now, list down the factors of 5244
:1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244
Now, list down the factors of 4576
:1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Greatest Common Factor
We found the factors 5244,4576 . The biggest common factor number is the GCF number.
So the greatest common factor 5244,4576 is 4.
Lets's calculate LCM of 675,5499
| 3 | 675, 5499 |
| 3 | 225, 1833 |
| 75, 611 |
∴ So the LCM of the given numbers is 3 x 3 x 75 x 611 = 412425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/412425
Therefore, the GCF of Fractions 5244/675,4576/5499 is 4/412425
Least Common Multiple of 675,5499 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 675,5499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,5499) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(675,5499) x common factors =9 x 1 = 9
LCM(675,5499) = ( 675 × 5499 ) / 9
LCM(675,5499) = 3711825 / 9
LCM(675,5499) = 412425
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FAQs on GCF of Fractions of 5244/675, 4576/5499
1. What is the HCF of 5244,4576?
The HCF of 5244,4576 is 4
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 5244/675, 4576/5499?
Answer: GCF of Numerators as per given numbers 5244/675, 4576/5499 is
GCF of Numerators i.e. for 5244,4576 is 4
LCM of denominators i.e. for 675,5499 is 412425.
Thus, GCF of Fractions is 4/412425.Finally, GCF of Fractions for 5244/675, 4576/5499 is 4/412425.