GCF of 4100/191, 2320/8421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4100/191, 2320/8421 i.e 20/1608411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4100/191, 2320/8421.
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 4100/191,2320/8421?
Given fractions are 4100/191,2320/8421
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 4100/191,2320/8421, numerators are 4100,2320
Denominators are 191,8421
The GCF of 4100,2320 is 20 .
LCM of 191,8421 is 1608411.
The greatest common factor of 4100/191,2320/8421 = [GCF of 4100,2320]/[LCM of 191,8421]= 20/1608411
Therefore, the GCF of 4100/191,2320/8421 is 20/1608411.
To find the highest common factor of 4100,2320, we have to find the factors of both numbers and list the highest common factor.
The factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100
The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
The HCF of 4100,2320 is 20.
Lets's calculate GCF of 4100,2320
| 2 | 4100, 2320 |
| 2 | 2050, 1160 |
| 5 | 1025, 580 |
| 205, 116 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4100,2320 By Matching Biggest Common Factor Method
Now, list down the factors of 4100
:1,2,4,5,10,20,25,41,50,82,100,164,205,410,820,1025,2050,4100
Now, list down the factors of 2320
:1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Greatest Common Factor
We found the factors 4100,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 4100,2320 is 20.
Lets's calculate LCM of 191,8421
Given numbers has no common factors except 1. So, there LCM is their product i.e 1608411
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1608411
Therefore, the GCF of Fractions 4100/191,2320/8421 is 20/1608411
Least Common Multiple of 191,8421 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 191,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,8421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,8421) x common factors =1 x 1 = 1
LCM(191,8421) = ( 191 × 8421 ) / 1
LCM(191,8421) = 1608411 / 1
LCM(191,8421) = 1608411
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FAQs on GCF of Fractions of 4100/191, 2320/8421
1. What is the HCF of 4100,2320?
The HCF of 4100,2320 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 4100/191, 2320/8421?
Answer: GCF of Numerators as per given numbers 4100/191, 2320/8421 is
GCF of Numerators i.e. for 4100,2320 is 20
LCM of denominators i.e. for 191,8421 is 1608411.
Thus, GCF of Fractions is 20/1608411.Finally, GCF of Fractions for 4100/191, 2320/8421 is 20/1608411.