GCF of 325/126, 949/426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 325/126, 949/426 i.e 13/8946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/126, 949/426.
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 325/126,949/426?
Given fractions are 325/126,949/426
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 325/126,949/426, numerators are 325,949
Denominators are 126,426
The GCF of 325,949 is 13 .
LCM of 126,426 is 8946.
The greatest common factor of 325/126,949/426 = [GCF of 325,949]/[LCM of 126,426]= 13/8946
Therefore, the GCF of 325/126,949/426 is 13/8946.
To find the highest common factor of 325,949, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 949 are 1, 13, 73, 949
The HCF of 325,949 is 13.
Lets's calculate GCF of 325,949
| 13 | 325, 949 |
| 25, 73 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 325,949 By Matching Biggest Common Factor Method
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 949
:1,13,73,949
Greatest Common Factor
We found the factors 325,949 . The biggest common factor number is the GCF number.
So the greatest common factor 325,949 is 13.
Lets's calculate LCM of 126,426
| 2 | 126, 426 |
| 3 | 63, 213 |
| 21, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 71 = 8946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/8946
Therefore, the GCF of Fractions 325/126,949/426 is 13/8946
Least Common Multiple of 126,426 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 126,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(126,426) x common factors =6 x 1 = 6
LCM(126,426) = ( 126 × 426 ) / 6
LCM(126,426) = 53676 / 6
LCM(126,426) = 8946
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 325/126, 949/426
1. What is the HCF of 325,949?
The HCF of 325,949 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 325/126, 949/426?
Answer: GCF of Numerators as per given numbers 325/126, 949/426 is
GCF of Numerators i.e. for 325,949 is 13
LCM of denominators i.e. for 126,426 is 8946.
Thus, GCF of Fractions is 13/8946.Finally, GCF of Fractions for 325/126, 949/426 is 13/8946.