GCF of 741/569, 2678/5934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 741/569, 2678/5934 i.e 13/3376446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/569, 2678/5934.
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 741/569,2678/5934?
Given fractions are 741/569,2678/5934
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 741/569,2678/5934, numerators are 741,2678
Denominators are 569,5934
The GCF of 741,2678 is 13 .
LCM of 569,5934 is 3376446.
The greatest common factor of 741/569,2678/5934 = [GCF of 741,2678]/[LCM of 569,5934]= 13/3376446
Therefore, the GCF of 741/569,2678/5934 is 13/3376446.
To find the highest common factor of 741,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 741,2678 is 13.
Lets's calculate GCF of 741,2678
| 13 | 741, 2678 |
| 57, 206 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 741,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 741,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 741,2678 is 13.
Lets's calculate LCM of 569,5934
Given numbers has no common factors except 1. So, there LCM is their product i.e 3376446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3376446
Therefore, the GCF of Fractions 741/569,2678/5934 is 13/3376446
Least Common Multiple of 569,5934 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 569,5934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,5934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,5934) x common factors =1 x 1 = 1
LCM(569,5934) = ( 569 × 5934 ) / 1
LCM(569,5934) = 3376446 / 1
LCM(569,5934) = 3376446
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FAQs on GCF of Fractions of 741/569, 2678/5934
1. What is the HCF of 741,2678?
The HCF of 741,2678 is 13
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 741/569, 2678/5934?
Answer: GCF of Numerators as per given numbers 741/569, 2678/5934 is
GCF of Numerators i.e. for 741,2678 is 13
LCM of denominators i.e. for 569,5934 is 3376446.
Thus, GCF of Fractions is 13/3376446.Finally, GCF of Fractions for 741/569, 2678/5934 is 13/3376446.