GCF of 5040/963, 9698/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5040/963, 9698/723 i.e 2/232083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5040/963, 9698/723.
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 5040/963,9698/723?
Given fractions are 5040/963,9698/723
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 5040/963,9698/723, numerators are 5040,9698
Denominators are 963,723
The GCF of 5040,9698 is 2 .
LCM of 963,723 is 232083.
The greatest common factor of 5040/963,9698/723 = [GCF of 5040,9698]/[LCM of 963,723]= 2/232083
Therefore, the GCF of 5040/963,9698/723 is 2/232083.
To find the highest common factor of 5040,9698, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698
The HCF of 5040,9698 is 2.
Lets's calculate GCF of 5040,9698
| 2 | 5040, 9698 |
| 2520, 4849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5040,9698 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9698
:1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 5040,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 5040,9698 is 2.
Lets's calculate LCM of 963,723
| 3 | 963, 723 |
| 321, 241 |
∴ So the LCM of the given numbers is 3 x 321 x 241 = 232083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232083
Therefore, the GCF of Fractions 5040/963,9698/723 is 2/232083
Least Common Multiple of 963,723 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 963,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(963,723) x common factors =3 x 1 = 3
LCM(963,723) = ( 963 × 723 ) / 3
LCM(963,723) = 696249 / 3
LCM(963,723) = 232083
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FAQs on GCF of Fractions of 5040/963, 9698/723
1. What is the HCF of 5040,9698?
The HCF of 5040,9698 is 2
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 5040/963, 9698/723?
Answer: GCF of Numerators as per given numbers 5040/963, 9698/723 is
GCF of Numerators i.e. for 5040,9698 is 2
LCM of denominators i.e. for 963,723 is 232083.
Thus, GCF of Fractions is 2/232083.Finally, GCF of Fractions for 5040/963, 9698/723 is 2/232083.