GCF of 2197/381, 4174/6486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2197/381, 4174/6486 i.e 1/823722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2197/381, 4174/6486.
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 2197/381,4174/6486?
Given fractions are 2197/381,4174/6486
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 2197/381,4174/6486, numerators are 2197,4174
Denominators are 381,6486
The GCF of 2197,4174 is 1 .
LCM of 381,6486 is 823722.
The greatest common factor of 2197/381,4174/6486 = [GCF of 2197,4174]/[LCM of 381,6486]= 1/823722
Therefore, the GCF of 2197/381,4174/6486 is 1/823722.
To find the highest common factor of 2197,4174, we have to find the factors of both numbers and list the highest common factor.
The factors of 2197 are 1, 13, 169, 2197
The factors of 4174 are 1, 2, 2087, 4174
The HCF of 2197,4174 is 1.
Lets's calculate GCF of 2197,4174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2197,4174 By Matching Biggest Common Factor Method
Now, list down the factors of 2197
:1,13,169,2197
Now, list down the factors of 4174
:1,2,2087,4174
Greatest Common Factor
We found the factors 2197,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 2197,4174 is 1.
Lets's calculate LCM of 381,6486
| 3 | 381, 6486 |
| 127, 2162 |
∴ So the LCM of the given numbers is 3 x 127 x 2162 = 823722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/823722
Therefore, the GCF of Fractions 2197/381,4174/6486 is 1/823722
Least Common Multiple of 381,6486 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 381,6486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,6486) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,6486) x common factors =3 x 1 = 3
LCM(381,6486) = ( 381 × 6486 ) / 3
LCM(381,6486) = 2471166 / 3
LCM(381,6486) = 823722
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2197/381, 4174/6486
1. What is the HCF of 2197,4174?
The HCF of 2197,4174 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 2197/381, 4174/6486?
Answer: GCF of Numerators as per given numbers 2197/381, 4174/6486 is
GCF of Numerators i.e. for 2197,4174 is 1
LCM of denominators i.e. for 381,6486 is 823722.
Thus, GCF of Fractions is 1/823722.Finally, GCF of Fractions for 2197/381, 4174/6486 is 1/823722.