Use our free GCF of Fractions Calculator tool to compute the GCF of 943/78, 247/162 i.e 1/2106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/78, 247/162.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/78,247/162
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 943/78,247/162, numerators are 943,247
Denominators are 78,162
The GCF of 943,247 is 1 .
LCM of 78,162 is 2106.
The greatest common factor of 943/78,247/162 = [GCF of 943,247]/[LCM of 78,162]= 1/2106
Therefore, the GCF of 943/78,247/162 is 1/2106.
To find the highest common factor of 943,247, we have to find the factors of both numbers and list the highest common factor.
The factors of 943 are 1, 23, 41, 943
The factors of 247 are 1, 13, 19, 247
The HCF of 943,247 is 1.
Lets's calculate GCF of 943,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 943
:1,23,41,943
Now, list down the factors of 247
:1,13,19,247
Greatest Common Factor
We found the factors 943,247 . The biggest common factor number is the GCF number.
So the greatest common factor 943,247 is 1.
Lets's calculate LCM of 78,162
2 | 78, 162 |
3 | 39, 81 |
13, 27 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 27 = 2106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2106
Therefore, the GCF of Fractions 943/78,247/162 is 1/2106
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 78,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,162) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,162) x common factors =6 x 1 = 6
LCM(78,162) = ( 78 × 162 ) / 6
LCM(78,162) = 12636 / 6
LCM(78,162) = 2106
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 943,247?
The HCF of 943,247 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 943/78, 247/162?
Answer: GCF of Numerators as per given numbers 943/78, 247/162 is
GCF of Numerators i.e. for 943,247 is 1
LCM of denominators i.e. for 78,162 is 2106.
Thus, GCF of Fractions is 1/2106.Finally, GCF of Fractions for 943/78, 247/162 is 1/2106.