GCF of 1143/405, 6119/8319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1143/405, 6119/8319 i.e 1/1123065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1143/405, 6119/8319.
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 1143/405,6119/8319?
Given fractions are 1143/405,6119/8319
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 1143/405,6119/8319, numerators are 1143,6119
Denominators are 405,8319
The GCF of 1143,6119 is 1 .
LCM of 405,8319 is 1123065.
The greatest common factor of 1143/405,6119/8319 = [GCF of 1143,6119]/[LCM of 405,8319]= 1/1123065
Therefore, the GCF of 1143/405,6119/8319 is 1/1123065.
To find the highest common factor of 1143,6119, we have to find the factors of both numbers and list the highest common factor.
The factors of 1143 are 1, 3, 9, 127, 381, 1143
The factors of 6119 are 1, 29, 211, 6119
The HCF of 1143,6119 is 1.
Lets's calculate GCF of 1143,6119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1143,6119 By Matching Biggest Common Factor Method
Now, list down the factors of 1143
:1,3,9,127,381,1143
Now, list down the factors of 6119
:1,29,211,6119
Greatest Common Factor
We found the factors 1143,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 1143,6119 is 1.
Lets's calculate LCM of 405,8319
| 3 | 405, 8319 |
| 135, 2773 |
∴ So the LCM of the given numbers is 3 x 135 x 2773 = 1123065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1123065
Therefore, the GCF of Fractions 1143/405,6119/8319 is 1/1123065
Least Common Multiple of 405,8319 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 405,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,8319) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(405,8319) x common factors =3 x 1 = 3
LCM(405,8319) = ( 405 × 8319 ) / 3
LCM(405,8319) = 3369195 / 3
LCM(405,8319) = 1123065
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FAQs on GCF of Fractions of 1143/405, 6119/8319
1. What is the HCF of 1143,6119?
The HCF of 1143,6119 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 1143/405, 6119/8319?
Answer: GCF of Numerators as per given numbers 1143/405, 6119/8319 is
GCF of Numerators i.e. for 1143,6119 is 1
LCM of denominators i.e. for 405,8319 is 1123065.
Thus, GCF of Fractions is 1/1123065.Finally, GCF of Fractions for 1143/405, 6119/8319 is 1/1123065.