GCF of 6161/408, 8629/2100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6161/408, 8629/2100 i.e 1/71400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6161/408, 8629/2100.
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 6161/408,8629/2100?
Given fractions are 6161/408,8629/2100
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 6161/408,8629/2100, numerators are 6161,8629
Denominators are 408,2100
The GCF of 6161,8629 is 1 .
LCM of 408,2100 is 71400.
The greatest common factor of 6161/408,8629/2100 = [GCF of 6161,8629]/[LCM of 408,2100]= 1/71400
Therefore, the GCF of 6161/408,8629/2100 is 1/71400.
To find the highest common factor of 6161,8629, we have to find the factors of both numbers and list the highest common factor.
The factors of 6161 are 1, 61, 101, 6161
The factors of 8629 are 1, 8629
The HCF of 6161,8629 is 1.
Lets's calculate GCF of 6161,8629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6161,8629 By Matching Biggest Common Factor Method
Now, list down the factors of 6161
:1,61,101,6161
Now, list down the factors of 8629
:1,8629
Greatest Common Factor
We found the factors 6161,8629 . The biggest common factor number is the GCF number.
So the greatest common factor 6161,8629 is 1.
Lets's calculate LCM of 408,2100
| 2 | 408, 2100 |
| 2 | 204, 1050 |
| 3 | 102, 525 |
| 34, 175 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 34 x 175 = 71400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71400
Therefore, the GCF of Fractions 6161/408,8629/2100 is 1/71400
Least Common Multiple of 408,2100 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 408,2100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,2100) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(408,2100) x common factors =12 x 1 = 12
LCM(408,2100) = ( 408 × 2100 ) / 12
LCM(408,2100) = 856800 / 12
LCM(408,2100) = 71400
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FAQs on GCF of Fractions of 6161/408, 8629/2100
1. What is the HCF of 6161,8629?
The HCF of 6161,8629 is 1
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 6161/408, 8629/2100?
Answer: GCF of Numerators as per given numbers 6161/408, 8629/2100 is
GCF of Numerators i.e. for 6161,8629 is 1
LCM of denominators i.e. for 408,2100 is 71400.
Thus, GCF of Fractions is 1/71400.Finally, GCF of Fractions for 6161/408, 8629/2100 is 1/71400.