GCF of 915/14, 183/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 915/14, 183/970 i.e 183/6790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/14, 183/970.
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 915/14,183/970?
Given fractions are 915/14,183/970
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 915/14,183/970, numerators are 915,183
Denominators are 14,970
The GCF of 915,183 is 183 .
LCM of 14,970 is 6790.
The greatest common factor of 915/14,183/970 = [GCF of 915,183]/[LCM of 14,970]= 183/6790
Therefore, the GCF of 915/14,183/970 is 183/6790.
To find the highest common factor of 915,183, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 183 are 1, 3, 61, 183
The HCF of 915,183 is 183.
Lets's calculate GCF of 915,183
| 3 | 915, 183 |
| 61 | 305, 61 |
| 5, 1 |
∴ So the GCF of the given numbers is 3 x 61 = 183
Greatest Common Factor of 915,183 By Matching Biggest Common Factor Method
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 183
:1,3,61,183
Greatest Common Factor
We found the factors 915,183 . The biggest common factor number is the GCF number.
So the greatest common factor 915,183 is 183.
Lets's calculate LCM of 14,970
| 2 | 14, 970 |
| 7, 485 |
∴ So the LCM of the given numbers is 2 x 7 x 485 = 6790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 183/6790
Therefore, the GCF of Fractions 915/14,183/970 is 183/6790
Least Common Multiple of 14,970 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 14,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,970) x common factors =2 x 1 = 2
LCM(14,970) = ( 14 × 970 ) / 2
LCM(14,970) = 13580 / 2
LCM(14,970) = 6790
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 915/14, 183/970
1. What is the HCF of 915,183?
The HCF of 915,183 is 183
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 915/14, 183/970?
Answer: GCF of Numerators as per given numbers 915/14, 183/970 is
GCF of Numerators i.e. for 915,183 is 183
LCM of denominators i.e. for 14,970 is 6790.
Thus, GCF of Fractions is 183/6790.Finally, GCF of Fractions for 915/14, 183/970 is 183/6790.