GCF of 1309/592, 2418/2798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1309/592, 2418/2798 i.e 1/828208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1309/592, 2418/2798.
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 1309/592,2418/2798?
Given fractions are 1309/592,2418/2798
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 1309/592,2418/2798, numerators are 1309,2418
Denominators are 592,2798
The GCF of 1309,2418 is 1 .
LCM of 592,2798 is 828208.
The greatest common factor of 1309/592,2418/2798 = [GCF of 1309,2418]/[LCM of 592,2798]= 1/828208
Therefore, the GCF of 1309/592,2418/2798 is 1/828208.
To find the highest common factor of 1309,2418, we have to find the factors of both numbers and list the highest common factor.
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309
The factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418
The HCF of 1309,2418 is 1.
Lets's calculate GCF of 1309,2418
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1309,2418 By Matching Biggest Common Factor Method
Now, list down the factors of 1309
:1,7,11,17,77,119,187,1309
Now, list down the factors of 2418
:1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418
Greatest Common Factor
We found the factors 1309,2418 . The biggest common factor number is the GCF number.
So the greatest common factor 1309,2418 is 1.
Lets's calculate LCM of 592,2798
| 2 | 592, 2798 |
| 296, 1399 |
∴ So the LCM of the given numbers is 2 x 296 x 1399 = 828208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828208
Therefore, the GCF of Fractions 1309/592,2418/2798 is 1/828208
Least Common Multiple of 592,2798 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 592,2798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,2798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(592,2798) x common factors =2 x 1 = 2
LCM(592,2798) = ( 592 × 2798 ) / 2
LCM(592,2798) = 1656416 / 2
LCM(592,2798) = 828208
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FAQs on GCF of Fractions of 1309/592, 2418/2798
1. What is the HCF of 1309,2418?
The HCF of 1309,2418 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 1309/592, 2418/2798?
Answer: GCF of Numerators as per given numbers 1309/592, 2418/2798 is
GCF of Numerators i.e. for 1309,2418 is 1
LCM of denominators i.e. for 592,2798 is 828208.
Thus, GCF of Fractions is 1/828208.Finally, GCF of Fractions for 1309/592, 2418/2798 is 1/828208.