Use our free GCF of Fractions Calculator tool to compute the GCF of 451/147, 842/215 i.e 1/31605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/147, 842/215.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/147,842/215
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 451/147,842/215, numerators are 451,842
Denominators are 147,215
The GCF of 451,842 is 1 .
LCM of 147,215 is 31605.
The greatest common factor of 451/147,842/215 = [GCF of 451,842]/[LCM of 147,215]= 1/31605
Therefore, the GCF of 451/147,842/215 is 1/31605.
To find the highest common factor of 451,842, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 842 are 1, 2, 421, 842
The HCF of 451,842 is 1.
Lets's calculate GCF of 451,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 842
:1,2,421,842
Greatest Common Factor
We found the factors 451,842 . The biggest common factor number is the GCF number.
So the greatest common factor 451,842 is 1.
Lets's calculate LCM of 147,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 31605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31605
Therefore, the GCF of Fractions 451/147,842/215 is 1/31605
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 147,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,215) x common factors =1 x 1 = 1
LCM(147,215) = ( 147 × 215 ) / 1
LCM(147,215) = 31605 / 1
LCM(147,215) = 31605
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 451,842?
The HCF of 451,842 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 451/147, 842/215?
Answer: GCF of Numerators as per given numbers 451/147, 842/215 is
GCF of Numerators i.e. for 451,842 is 1
LCM of denominators i.e. for 147,215 is 31605.
Thus, GCF of Fractions is 1/31605.Finally, GCF of Fractions for 451/147, 842/215 is 1/31605.