Use our free GCF of Fractions Calculator tool to compute the GCF of 642/457, 166/803 i.e 2/366971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 642/457, 166/803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 642/457,166/803
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 642/457,166/803, numerators are 642,166
Denominators are 457,803
The GCF of 642,166 is 2 .
LCM of 457,803 is 366971.
The greatest common factor of 642/457,166/803 = [GCF of 642,166]/[LCM of 457,803]= 2/366971
Therefore, the GCF of 642/457,166/803 is 2/366971.
To find the highest common factor of 642,166, we have to find the factors of both numbers and list the highest common factor.
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The factors of 166 are 1, 2, 83, 166
The HCF of 642,166 is 2.
Lets's calculate GCF of 642,166
2 | 642, 166 |
321, 83 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Now, list down the factors of 166
:1,2,83,166
Greatest Common Factor
We found the factors 642,166 . The biggest common factor number is the GCF number.
So the greatest common factor 642,166 is 2.
Lets's calculate LCM of 457,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 366971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/366971
Therefore, the GCF of Fractions 642/457,166/803 is 2/366971
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 457,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,803) x common factors =1 x 1 = 1
LCM(457,803) = ( 457 × 803 ) / 1
LCM(457,803) = 366971 / 1
LCM(457,803) = 366971
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 642,166?
The HCF of 642,166 is 2
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 642/457, 166/803?
Answer: GCF of Numerators as per given numbers 642/457, 166/803 is
GCF of Numerators i.e. for 642,166 is 2
LCM of denominators i.e. for 457,803 is 366971.
Thus, GCF of Fractions is 2/366971.Finally, GCF of Fractions for 642/457, 166/803 is 2/366971.