GCF of 7800/183, 2825/8313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7800/183, 2825/8313 i.e 25/507093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7800/183, 2825/8313.
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 7800/183,2825/8313?
Given fractions are 7800/183,2825/8313
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 7800/183,2825/8313, numerators are 7800,2825
Denominators are 183,8313
The GCF of 7800,2825 is 25 .
LCM of 183,8313 is 507093.
The greatest common factor of 7800/183,2825/8313 = [GCF of 7800,2825]/[LCM of 183,8313]= 25/507093
Therefore, the GCF of 7800/183,2825/8313 is 25/507093.
To find the highest common factor of 7800,2825, we have to find the factors of both numbers and list the highest common factor.
The factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The factors of 2825 are 1, 5, 25, 113, 565, 2825
The HCF of 7800,2825 is 25.
Lets's calculate GCF of 7800,2825
| 5 | 7800, 2825 |
| 5 | 1560, 565 |
| 312, 113 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7800,2825 By Matching Biggest Common Factor Method
Now, list down the factors of 7800
:1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Now, list down the factors of 2825
:1,5,25,113,565,2825
Greatest Common Factor
We found the factors 7800,2825 . The biggest common factor number is the GCF number.
So the greatest common factor 7800,2825 is 25.
Lets's calculate LCM of 183,8313
| 3 | 183, 8313 |
| 61, 2771 |
∴ So the LCM of the given numbers is 3 x 61 x 2771 = 507093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/507093
Therefore, the GCF of Fractions 7800/183,2825/8313 is 25/507093
Least Common Multiple of 183,8313 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 183,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,8313) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,8313) x common factors =3 x 1 = 3
LCM(183,8313) = ( 183 × 8313 ) / 3
LCM(183,8313) = 1521279 / 3
LCM(183,8313) = 507093
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FAQs on GCF of Fractions of 7800/183, 2825/8313
1. What is the HCF of 7800,2825?
The HCF of 7800,2825 is 25
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 7800/183, 2825/8313?
Answer: GCF of Numerators as per given numbers 7800/183, 2825/8313 is
GCF of Numerators i.e. for 7800,2825 is 25
LCM of denominators i.e. for 183,8313 is 507093.
Thus, GCF of Fractions is 25/507093.Finally, GCF of Fractions for 7800/183, 2825/8313 is 25/507093.