GCF of 5073/184, 5040/5836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5073/184, 5040/5836 i.e 3/268456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5073/184, 5040/5836.
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 5073/184,5040/5836?
Given fractions are 5073/184,5040/5836
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 5073/184,5040/5836, numerators are 5073,5040
Denominators are 184,5836
The GCF of 5073,5040 is 3 .
LCM of 184,5836 is 268456.
The greatest common factor of 5073/184,5040/5836 = [GCF of 5073,5040]/[LCM of 184,5836]= 3/268456
Therefore, the GCF of 5073/184,5040/5836 is 3/268456.
To find the highest common factor of 5073,5040, we have to find the factors of both numbers and list the highest common factor.
The factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073
The factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
The HCF of 5073,5040 is 3.
Lets's calculate GCF of 5073,5040
| 3 | 5073, 5040 |
| 1691, 1680 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5073,5040 By Matching Biggest Common Factor Method
Now, list down the factors of 5073
:1,3,19,57,89,267,1691,5073
Now, list down the factors of 5040
:1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040
Greatest Common Factor
We found the factors 5073,5040 . The biggest common factor number is the GCF number.
So the greatest common factor 5073,5040 is 3.
Lets's calculate LCM of 184,5836
| 2 | 184, 5836 |
| 2 | 92, 2918 |
| 46, 1459 |
∴ So the LCM of the given numbers is 2 x 2 x 46 x 1459 = 268456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/268456
Therefore, the GCF of Fractions 5073/184,5040/5836 is 3/268456
Least Common Multiple of 184,5836 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 184,5836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,5836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(184,5836) x common factors =4 x 1 = 4
LCM(184,5836) = ( 184 × 5836 ) / 4
LCM(184,5836) = 1073824 / 4
LCM(184,5836) = 268456
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FAQs on GCF of Fractions of 5073/184, 5040/5836
1. What is the HCF of 5073,5040?
The HCF of 5073,5040 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 5073/184, 5040/5836?
Answer: GCF of Numerators as per given numbers 5073/184, 5040/5836 is
GCF of Numerators i.e. for 5073,5040 is 3
LCM of denominators i.e. for 184,5836 is 268456.
Thus, GCF of Fractions is 3/268456.Finally, GCF of Fractions for 5073/184, 5040/5836 is 3/268456.