GCF of 5800/850, 7830/3307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5800/850, 7830/3307 i.e 290/2810950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5800/850, 7830/3307.
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 5800/850,7830/3307?
Given fractions are 5800/850,7830/3307
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 5800/850,7830/3307, numerators are 5800,7830
Denominators are 850,3307
The GCF of 5800,7830 is 290 .
LCM of 850,3307 is 2810950.
The greatest common factor of 5800/850,7830/3307 = [GCF of 5800,7830]/[LCM of 850,3307]= 290/2810950
Therefore, the GCF of 5800/850,7830/3307 is 290/2810950.
To find the highest common factor of 5800,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 5800,7830 is 290.
Lets's calculate GCF of 5800,7830
| 2 | 5800, 7830 |
| 5 | 2900, 3915 |
| 29 | 580, 783 |
| 20, 27 |
∴ So the GCF of the given numbers is 2 x 5 x 29 = 290
Greatest Common Factor of 5800,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 5800
:1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 5800,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 5800,7830 is 290.
Lets's calculate LCM of 850,3307
Given numbers has no common factors except 1. So, there LCM is their product i.e 2810950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 290/2810950
Therefore, the GCF of Fractions 5800/850,7830/3307 is 290/2810950
Least Common Multiple of 850,3307 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 850,3307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,3307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,3307) x common factors =1 x 1 = 1
LCM(850,3307) = ( 850 × 3307 ) / 1
LCM(850,3307) = 2810950 / 1
LCM(850,3307) = 2810950
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FAQs on GCF of Fractions of 5800/850, 7830/3307
1. What is the HCF of 5800,7830?
The HCF of 5800,7830 is 290
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 5800/850, 7830/3307?
Answer: GCF of Numerators as per given numbers 5800/850, 7830/3307 is
GCF of Numerators i.e. for 5800,7830 is 290
LCM of denominators i.e. for 850,3307 is 2810950.
Thus, GCF of Fractions is 290/2810950.Finally, GCF of Fractions for 5800/850, 7830/3307 is 290/2810950.