GCF of 7546/324, 8503/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7546/324, 8503/546 i.e 11/29484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7546/324, 8503/546.
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 7546/324,8503/546?
Given fractions are 7546/324,8503/546
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 7546/324,8503/546, numerators are 7546,8503
Denominators are 324,546
The GCF of 7546,8503 is 11 .
LCM of 324,546 is 29484.
The greatest common factor of 7546/324,8503/546 = [GCF of 7546,8503]/[LCM of 324,546]= 11/29484
Therefore, the GCF of 7546/324,8503/546 is 11/29484.
To find the highest common factor of 7546,8503, we have to find the factors of both numbers and list the highest common factor.
The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
The factors of 8503 are 1, 11, 773, 8503
The HCF of 7546,8503 is 11.
Lets's calculate GCF of 7546,8503
| 11 | 7546, 8503 |
| 686, 773 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7546,8503 By Matching Biggest Common Factor Method
Now, list down the factors of 7546
:1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Now, list down the factors of 8503
:1,11,773,8503
Greatest Common Factor
We found the factors 7546,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 7546,8503 is 11.
Lets's calculate LCM of 324,546
| 2 | 324, 546 |
| 3 | 162, 273 |
| 54, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 54 x 91 = 29484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/29484
Therefore, the GCF of Fractions 7546/324,8503/546 is 11/29484
Least Common Multiple of 324,546 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 324,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,546) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(324,546) x common factors =6 x 1 = 6
LCM(324,546) = ( 324 × 546 ) / 6
LCM(324,546) = 176904 / 6
LCM(324,546) = 29484
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7546/324, 8503/546
1. What is the HCF of 7546,8503?
The HCF of 7546,8503 is 11
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 7546/324, 8503/546?
Answer: GCF of Numerators as per given numbers 7546/324, 8503/546 is
GCF of Numerators i.e. for 7546,8503 is 11
LCM of denominators i.e. for 324,546 is 29484.
Thus, GCF of Fractions is 11/29484.Finally, GCF of Fractions for 7546/324, 8503/546 is 11/29484.