GCF of 949/955, 8385/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/955, 8385/462 i.e 13/441210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/955, 8385/462.
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 949/955,8385/462?
Given fractions are 949/955,8385/462
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 949/955,8385/462, numerators are 949,8385
Denominators are 955,462
The GCF of 949,8385 is 13 .
LCM of 955,462 is 441210.
The greatest common factor of 949/955,8385/462 = [GCF of 949,8385]/[LCM of 955,462]= 13/441210
Therefore, the GCF of 949/955,8385/462 is 13/441210.
To find the highest common factor of 949,8385, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 8385 are 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385
The HCF of 949,8385 is 13.
Lets's calculate GCF of 949,8385
| 13 | 949, 8385 |
| 73, 645 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 949,8385 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 8385
:1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385
Greatest Common Factor
We found the factors 949,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 949,8385 is 13.
Lets's calculate LCM of 955,462
Given numbers has no common factors except 1. So, there LCM is their product i.e 441210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/441210
Therefore, the GCF of Fractions 949/955,8385/462 is 13/441210
Least Common Multiple of 955,462 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 955,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,462) x common factors =1 x 1 = 1
LCM(955,462) = ( 955 × 462 ) / 1
LCM(955,462) = 441210 / 1
LCM(955,462) = 441210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 949/955, 8385/462
1. What is the HCF of 949,8385?
The HCF of 949,8385 is 13
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 949/955, 8385/462?
Answer: GCF of Numerators as per given numbers 949/955, 8385/462 is
GCF of Numerators i.e. for 949,8385 is 13
LCM of denominators i.e. for 955,462 is 441210.
Thus, GCF of Fractions is 13/441210.Finally, GCF of Fractions for 949/955, 8385/462 is 13/441210.