GCF of 59/348, 192/612, 615/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 59/348, 192/612, 615/116 i.e 1/17748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/348, 192/612, 615/116.
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 59/348,192/612,615/116?
Given fractions are 59/348,192/612,615/116
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 59/348,192/612,615/116, numerators are 59,192,615
Denominators are 348,612,116
The GCF of 59,192,615 is 1 .
LCM of 348,612,116 is 17748.
The greatest common factor of 59/348,192/612,615/116 = [GCF of 59,192,615]/[LCM of 348,612,116]= 1/17748
Therefore, the GCF of 59/348,192/612,615/116 is 1/17748.
To find the highest common factor of 59,192,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 59,192,615 is 1.
Lets's calculate GCF of 59,192,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 59,192,615 By Matching Biggest Common Factor Method
Now, list down the factors of 59
:1,59
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 59,192,615 . The biggest common factor number is the GCF number.
So the greatest common factor 59,192,615 is 1.
Lets's calculate LCM of 348,612,116
| 2 | 348, 612, 116 |
| 2 | 174, 306, 58 |
| 3 | 87, 153, 29 |
| 29 | 29, 51, 29 |
| 1, 51, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 1 x 51 x 1 = 17748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17748
Therefore, the GCF of Fractions 59/348,192/612,615/116 is 1/17748
Least Common Multiple of 348,612,116 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 348,612,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,612,116) = 4
common factors(in case of two or more numbers have common factors) = 348
GCF(348,612,116) x common factors =4 x 348 = 1392
LCM(348,612,116) = ( 348 × 612 × 116 ) / 1392
LCM(348,612,116) = 24705216 / 1392
LCM(348,612,116) = 17748
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 59/348, 192/612, 615/116
1. What is the HCF of 59,192,615?
The HCF of 59,192,615 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 59/348, 192/612, 615/116?
Answer: GCF of Numerators as per given numbers 59/348, 192/612, 615/116 is
GCF of Numerators i.e. for 59,192,615 is 1
LCM of denominators i.e. for 348,612,116 is 17748.
Thus, GCF of Fractions is 1/17748.Finally, GCF of Fractions for 59/348, 192/612, 615/116 is 1/17748.