GCF of 9810/250, 5800/3933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9810/250, 5800/3933 i.e 10/983250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9810/250, 5800/3933.
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 9810/250,5800/3933?
Given fractions are 9810/250,5800/3933
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 9810/250,5800/3933, numerators are 9810,5800
Denominators are 250,3933
The GCF of 9810,5800 is 10 .
LCM of 250,3933 is 983250.
The greatest common factor of 9810/250,5800/3933 = [GCF of 9810,5800]/[LCM of 250,3933]= 10/983250
Therefore, the GCF of 9810/250,5800/3933 is 10/983250.
To find the highest common factor of 9810,5800, we have to find the factors of both numbers and list the highest common factor.
The factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810
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 HCF of 9810,5800 is 10.
Lets's calculate GCF of 9810,5800
| 2 | 9810, 5800 |
| 5 | 4905, 2900 |
| 981, 580 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9810,5800 By Matching Biggest Common Factor Method
Now, list down the factors of 9810
:1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810
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
Greatest Common Factor
We found the factors 9810,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 9810,5800 is 10.
Lets's calculate LCM of 250,3933
Given numbers has no common factors except 1. So, there LCM is their product i.e 983250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/983250
Therefore, the GCF of Fractions 9810/250,5800/3933 is 10/983250
Least Common Multiple of 250,3933 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 250,3933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,3933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,3933) x common factors =1 x 1 = 1
LCM(250,3933) = ( 250 × 3933 ) / 1
LCM(250,3933) = 983250 / 1
LCM(250,3933) = 983250
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FAQs on GCF of Fractions of 9810/250, 5800/3933
1. What is the HCF of 9810,5800?
The HCF of 9810,5800 is 10
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 9810/250, 5800/3933?
Answer: GCF of Numerators as per given numbers 9810/250, 5800/3933 is
GCF of Numerators i.e. for 9810,5800 is 10
LCM of denominators i.e. for 250,3933 is 983250.
Thus, GCF of Fractions is 10/983250.Finally, GCF of Fractions for 9810/250, 5800/3933 is 10/983250.