GCF of 615/537, 2790/4384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 615/537, 2790/4384 i.e 15/2354208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/537, 2790/4384.
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 615/537,2790/4384?
Given fractions are 615/537,2790/4384
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 615/537,2790/4384, numerators are 615,2790
Denominators are 537,4384
The GCF of 615,2790 is 15 .
LCM of 537,4384 is 2354208.
The greatest common factor of 615/537,2790/4384 = [GCF of 615,2790]/[LCM of 537,4384]= 15/2354208
Therefore, the GCF of 615/537,2790/4384 is 15/2354208.
To find the highest common factor of 615,2790, we have to find the factors of both numbers and list the highest common factor.
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790
The HCF of 615,2790 is 15.
Lets's calculate GCF of 615,2790
| 3 | 615, 2790 |
| 5 | 205, 930 |
| 41, 186 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 615,2790 By Matching Biggest Common Factor Method
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 2790
:1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790
Greatest Common Factor
We found the factors 615,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 615,2790 is 15.
Lets's calculate LCM of 537,4384
Given numbers has no common factors except 1. So, there LCM is their product i.e 2354208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2354208
Therefore, the GCF of Fractions 615/537,2790/4384 is 15/2354208
Least Common Multiple of 537,4384 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 537,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,4384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,4384) x common factors =1 x 1 = 1
LCM(537,4384) = ( 537 × 4384 ) / 1
LCM(537,4384) = 2354208 / 1
LCM(537,4384) = 2354208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 615/537, 2790/4384
1. What is the HCF of 615,2790?
The HCF of 615,2790 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 615/537, 2790/4384?
Answer: GCF of Numerators as per given numbers 615/537, 2790/4384 is
GCF of Numerators i.e. for 615,2790 is 15
LCM of denominators i.e. for 537,4384 is 2354208.
Thus, GCF of Fractions is 15/2354208.Finally, GCF of Fractions for 615/537, 2790/4384 is 15/2354208.