GCF of 5739/276, 5740/1674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5739/276, 5740/1674 i.e 1/77004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5739/276, 5740/1674.
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 5739/276,5740/1674?
Given fractions are 5739/276,5740/1674
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 5739/276,5740/1674, numerators are 5739,5740
Denominators are 276,1674
The GCF of 5739,5740 is 1 .
LCM of 276,1674 is 77004.
The greatest common factor of 5739/276,5740/1674 = [GCF of 5739,5740]/[LCM of 276,1674]= 1/77004
Therefore, the GCF of 5739/276,5740/1674 is 1/77004.
To find the highest common factor of 5739,5740, we have to find the factors of both numbers and list the highest common factor.
The factors of 5739 are 1, 3, 1913, 5739
The factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740
The HCF of 5739,5740 is 1.
Lets's calculate GCF of 5739,5740
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5739,5740 By Matching Biggest Common Factor Method
Now, list down the factors of 5739
:1,3,1913,5739
Now, list down the factors of 5740
:1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740
Greatest Common Factor
We found the factors 5739,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 5739,5740 is 1.
Lets's calculate LCM of 276,1674
| 2 | 276, 1674 |
| 3 | 138, 837 |
| 46, 279 |
∴ So the LCM of the given numbers is 2 x 3 x 46 x 279 = 77004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77004
Therefore, the GCF of Fractions 5739/276,5740/1674 is 1/77004
Least Common Multiple of 276,1674 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 276,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,1674) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(276,1674) x common factors =6 x 1 = 6
LCM(276,1674) = ( 276 × 1674 ) / 6
LCM(276,1674) = 462024 / 6
LCM(276,1674) = 77004
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FAQs on GCF of Fractions of 5739/276, 5740/1674
1. What is the HCF of 5739,5740?
The HCF of 5739,5740 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 5739/276, 5740/1674?
Answer: GCF of Numerators as per given numbers 5739/276, 5740/1674 is
GCF of Numerators i.e. for 5739,5740 is 1
LCM of denominators i.e. for 276,1674 is 77004.
Thus, GCF of Fractions is 1/77004.Finally, GCF of Fractions for 5739/276, 5740/1674 is 1/77004.