GCF of 3897/198, 1855/7124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3897/198, 1855/7124 i.e 1/705276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3897/198, 1855/7124.
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 3897/198,1855/7124?
Given fractions are 3897/198,1855/7124
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 3897/198,1855/7124, numerators are 3897,1855
Denominators are 198,7124
The GCF of 3897,1855 is 1 .
LCM of 198,7124 is 705276.
The greatest common factor of 3897/198,1855/7124 = [GCF of 3897,1855]/[LCM of 198,7124]= 1/705276
Therefore, the GCF of 3897/198,1855/7124 is 1/705276.
To find the highest common factor of 3897,1855, we have to find the factors of both numbers and list the highest common factor.
The factors of 3897 are 1, 3, 9, 433, 1299, 3897
The factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855
The HCF of 3897,1855 is 1.
Lets's calculate GCF of 3897,1855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3897,1855 By Matching Biggest Common Factor Method
Now, list down the factors of 3897
:1,3,9,433,1299,3897
Now, list down the factors of 1855
:1,5,7,35,53,265,371,1855
Greatest Common Factor
We found the factors 3897,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 3897,1855 is 1.
Lets's calculate LCM of 198,7124
| 2 | 198, 7124 |
| 99, 3562 |
∴ So the LCM of the given numbers is 2 x 99 x 3562 = 705276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705276
Therefore, the GCF of Fractions 3897/198,1855/7124 is 1/705276
Least Common Multiple of 198,7124 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 198,7124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,7124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,7124) x common factors =2 x 1 = 2
LCM(198,7124) = ( 198 × 7124 ) / 2
LCM(198,7124) = 1410552 / 2
LCM(198,7124) = 705276
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3897/198, 1855/7124
1. What is the HCF of 3897,1855?
The HCF of 3897,1855 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 3897/198, 1855/7124?
Answer: GCF of Numerators as per given numbers 3897/198, 1855/7124 is
GCF of Numerators i.e. for 3897,1855 is 1
LCM of denominators i.e. for 198,7124 is 705276.
Thus, GCF of Fractions is 1/705276.Finally, GCF of Fractions for 3897/198, 1855/7124 is 1/705276.