GCF of 675/537, 615/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 675/537, 615/592 i.e 15/317904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/537, 615/592.
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 675/537,615/592?
Given fractions are 675/537,615/592
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 675/537,615/592, numerators are 675,615
Denominators are 537,592
The GCF of 675,615 is 15 .
LCM of 537,592 is 317904.
The greatest common factor of 675/537,615/592 = [GCF of 675,615]/[LCM of 537,592]= 15/317904
Therefore, the GCF of 675/537,615/592 is 15/317904.
To find the highest common factor of 675,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 675,615 is 15.
Lets's calculate GCF of 675,615
| 3 | 675, 615 |
| 5 | 225, 205 |
| 45, 41 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 675,615 By Matching Biggest Common Factor Method
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 675,615 . The biggest common factor number is the GCF number.
So the greatest common factor 675,615 is 15.
Lets's calculate LCM of 537,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 317904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/317904
Therefore, the GCF of Fractions 675/537,615/592 is 15/317904
Least Common Multiple of 537,592 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 537,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,592) x common factors =1 x 1 = 1
LCM(537,592) = ( 537 × 592 ) / 1
LCM(537,592) = 317904 / 1
LCM(537,592) = 317904
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FAQs on GCF of Fractions of 675/537, 615/592
1. What is the HCF of 675,615?
The HCF of 675,615 is 15
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 675/537, 615/592?
Answer: GCF of Numerators as per given numbers 675/537, 615/592 is
GCF of Numerators i.e. for 675,615 is 15
LCM of denominators i.e. for 537,592 is 317904.
Thus, GCF of Fractions is 15/317904.Finally, GCF of Fractions for 675/537, 615/592 is 15/317904.