GCF of 8240/170, 3900/8111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8240/170, 3900/8111 i.e 20/1378870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8240/170, 3900/8111.
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 8240/170,3900/8111?
Given fractions are 8240/170,3900/8111
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 8240/170,3900/8111, numerators are 8240,3900
Denominators are 170,8111
The GCF of 8240,3900 is 20 .
LCM of 170,8111 is 1378870.
The greatest common factor of 8240/170,3900/8111 = [GCF of 8240,3900]/[LCM of 170,8111]= 20/1378870
Therefore, the GCF of 8240/170,3900/8111 is 20/1378870.
To find the highest common factor of 8240,3900, we have to find the factors of both numbers and list the highest common factor.
The factors of 8240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The HCF of 8240,3900 is 20.
Lets's calculate GCF of 8240,3900
| 2 | 8240, 3900 |
| 2 | 4120, 1950 |
| 5 | 2060, 975 |
| 412, 195 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8240,3900 By Matching Biggest Common Factor Method
Now, list down the factors of 8240
:1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Greatest Common Factor
We found the factors 8240,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 8240,3900 is 20.
Lets's calculate LCM of 170,8111
Given numbers has no common factors except 1. So, there LCM is their product i.e 1378870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1378870
Therefore, the GCF of Fractions 8240/170,3900/8111 is 20/1378870
Least Common Multiple of 170,8111 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 170,8111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,8111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,8111) x common factors =1 x 1 = 1
LCM(170,8111) = ( 170 × 8111 ) / 1
LCM(170,8111) = 1378870 / 1
LCM(170,8111) = 1378870
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FAQs on GCF of Fractions of 8240/170, 3900/8111
1. What is the HCF of 8240,3900?
The HCF of 8240,3900 is 20
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 8240/170, 3900/8111?
Answer: GCF of Numerators as per given numbers 8240/170, 3900/8111 is
GCF of Numerators i.e. for 8240,3900 is 20
LCM of denominators i.e. for 170,8111 is 1378870.
Thus, GCF of Fractions is 20/1378870.Finally, GCF of Fractions for 8240/170, 3900/8111 is 20/1378870.