GCF of 4836/573, 2520/9858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4836/573, 2520/9858 i.e 12/1882878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4836/573, 2520/9858.
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 4836/573,2520/9858?
Given fractions are 4836/573,2520/9858
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 4836/573,2520/9858, numerators are 4836,2520
Denominators are 573,9858
The GCF of 4836,2520 is 12 .
LCM of 573,9858 is 1882878.
The greatest common factor of 4836/573,2520/9858 = [GCF of 4836,2520]/[LCM of 573,9858]= 12/1882878
Therefore, the GCF of 4836/573,2520/9858 is 12/1882878.
To find the highest common factor of 4836,2520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The HCF of 4836,2520 is 12.
Lets's calculate GCF of 4836,2520
| 2 | 4836, 2520 |
| 2 | 2418, 1260 |
| 3 | 1209, 630 |
| 403, 210 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4836,2520 By Matching Biggest Common Factor Method
Now, list down the factors of 4836
:1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 4836,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 4836,2520 is 12.
Lets's calculate LCM of 573,9858
| 3 | 573, 9858 |
| 191, 3286 |
∴ So the LCM of the given numbers is 3 x 191 x 3286 = 1882878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1882878
Therefore, the GCF of Fractions 4836/573,2520/9858 is 12/1882878
Least Common Multiple of 573,9858 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 573,9858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,9858) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,9858) x common factors =3 x 1 = 3
LCM(573,9858) = ( 573 × 9858 ) / 3
LCM(573,9858) = 5648634 / 3
LCM(573,9858) = 1882878
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FAQs on GCF of Fractions of 4836/573, 2520/9858
1. What is the HCF of 4836,2520?
The HCF of 4836,2520 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 4836/573, 2520/9858?
Answer: GCF of Numerators as per given numbers 4836/573, 2520/9858 is
GCF of Numerators i.e. for 4836,2520 is 12
LCM of denominators i.e. for 573,9858 is 1882878.
Thus, GCF of Fractions is 12/1882878.Finally, GCF of Fractions for 4836/573, 2520/9858 is 12/1882878.