Use our free GCF of Fractions Calculator tool to compute the GCF of 546/171, 313/854 i.e 1/146034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 546/171, 313/854.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 546/171,313/854
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 546/171,313/854, numerators are 546,313
Denominators are 171,854
The GCF of 546,313 is 1 .
LCM of 171,854 is 146034.
The greatest common factor of 546/171,313/854 = [GCF of 546,313]/[LCM of 171,854]= 1/146034
Therefore, the GCF of 546/171,313/854 is 1/146034.
To find the highest common factor of 546,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The factors of 313 are 1, 313
The HCF of 546,313 is 1.
Lets's calculate GCF of 546,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 546,313 . The biggest common factor number is the GCF number.
So the greatest common factor 546,313 is 1.
Lets's calculate LCM of 171,854
Given numbers has no common factors except 1. So, there LCM is their product i.e 146034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146034
Therefore, the GCF of Fractions 546/171,313/854 is 1/146034
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 171,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,854) x common factors =1 x 1 = 1
LCM(171,854) = ( 171 × 854 ) / 1
LCM(171,854) = 146034 / 1
LCM(171,854) = 146034
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 546,313?
The HCF of 546,313 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 546/171, 313/854?
Answer: GCF of Numerators as per given numbers 546/171, 313/854 is
GCF of Numerators i.e. for 546,313 is 1
LCM of denominators i.e. for 171,854 is 146034.
Thus, GCF of Fractions is 1/146034.Finally, GCF of Fractions for 546/171, 313/854 is 1/146034.