GCF of 18/398, 8700/2964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/398, 8700/2964 i.e 6/589836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/398, 8700/2964.
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 18/398,8700/2964?
Given fractions are 18/398,8700/2964
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 18/398,8700/2964, numerators are 18,8700
Denominators are 398,2964
The GCF of 18,8700 is 6 .
LCM of 398,2964 is 589836.
The greatest common factor of 18/398,8700/2964 = [GCF of 18,8700]/[LCM of 398,2964]= 6/589836
Therefore, the GCF of 18/398,8700/2964 is 6/589836.
To find the highest common factor of 18,8700, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700
The HCF of 18,8700 is 6.
Lets's calculate GCF of 18,8700
| 2 | 18, 8700 |
| 3 | 9, 4350 |
| 3, 1450 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 18,8700 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 8700
:1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700
Greatest Common Factor
We found the factors 18,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 18,8700 is 6.
Lets's calculate LCM of 398,2964
| 2 | 398, 2964 |
| 199, 1482 |
∴ So the LCM of the given numbers is 2 x 199 x 1482 = 589836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/589836
Therefore, the GCF of Fractions 18/398,8700/2964 is 6/589836
Least Common Multiple of 398,2964 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 398,2964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,2964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,2964) x common factors =2 x 1 = 2
LCM(398,2964) = ( 398 × 2964 ) / 2
LCM(398,2964) = 1179672 / 2
LCM(398,2964) = 589836
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FAQs on GCF of Fractions of 18/398, 8700/2964
1. What is the HCF of 18,8700?
The HCF of 18,8700 is 6
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 18/398, 8700/2964?
Answer: GCF of Numerators as per given numbers 18/398, 8700/2964 is
GCF of Numerators i.e. for 18,8700 is 6
LCM of denominators i.e. for 398,2964 is 589836.
Thus, GCF of Fractions is 6/589836.Finally, GCF of Fractions for 18/398, 8700/2964 is 6/589836.