GCF of 819/759, 389/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 819/759, 389/253 i.e 1/759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/759, 389/253.
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 819/759,389/253?
Given fractions are 819/759,389/253
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 819/759,389/253, numerators are 819,389
Denominators are 759,253
The GCF of 819,389 is 1 .
LCM of 759,253 is 759.
The greatest common factor of 819/759,389/253 = [GCF of 819,389]/[LCM of 759,253]= 1/759
Therefore, the GCF of 819/759,389/253 is 1/759.
To find the highest common factor of 819,389, we have to find the factors of both numbers and list the highest common factor.
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 389 are 1, 389
The HCF of 819,389 is 1.
Lets's calculate GCF of 819,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 819,389 By Matching Biggest Common Factor Method
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 389
:1,389
Greatest Common Factor
We found the factors 819,389 . The biggest common factor number is the GCF number.
So the greatest common factor 819,389 is 1.
Lets's calculate LCM of 759,253
| 11 | 759, 253 |
| 23 | 69, 23 |
| 3, 1 |
∴ So the LCM of the given numbers is 11 x 23 x 3 x 1 = 759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759
Therefore, the GCF of Fractions 819/759,389/253 is 1/759
Least Common Multiple of 759,253 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 759,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,253) = 253
common factors(in case of two or more numbers have common factors) = 1
GCF(759,253) x common factors =253 x 1 = 253
LCM(759,253) = ( 759 × 253 ) / 253
LCM(759,253) = 192027 / 253
LCM(759,253) = 759
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FAQs on GCF of Fractions of 819/759, 389/253
1. What is the HCF of 819,389?
The HCF of 819,389 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 819/759, 389/253?
Answer: GCF of Numerators as per given numbers 819/759, 389/253 is
GCF of Numerators i.e. for 819,389 is 1
LCM of denominators i.e. for 759,253 is 759.
Thus, GCF of Fractions is 1/759.Finally, GCF of Fractions for 819/759, 389/253 is 1/759.