Use our free GCF of Fractions Calculator tool to compute the GCF of 166/653, 432/753 i.e 2/491709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/653, 432/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 166/653,432/753
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 166/653,432/753, numerators are 166,432
Denominators are 653,753
The GCF of 166,432 is 2 .
LCM of 653,753 is 491709.
The greatest common factor of 166/653,432/753 = [GCF of 166,432]/[LCM of 653,753]= 2/491709
Therefore, the GCF of 166/653,432/753 is 2/491709.
To find the highest common factor of 166,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 166 are 1, 2, 83, 166
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 166,432 is 2.
Lets's calculate GCF of 166,432
2 | 166, 432 |
83, 216 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 166
:1,2,83,166
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 166,432 . The biggest common factor number is the GCF number.
So the greatest common factor 166,432 is 2.
Lets's calculate LCM of 653,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 491709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/491709
Therefore, the GCF of Fractions 166/653,432/753 is 2/491709
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 653,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,753) x common factors =1 x 1 = 1
LCM(653,753) = ( 653 × 753 ) / 1
LCM(653,753) = 491709 / 1
LCM(653,753) = 491709
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 166,432?
The HCF of 166,432 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 166/653, 432/753?
Answer: GCF of Numerators as per given numbers 166/653, 432/753 is
GCF of Numerators i.e. for 166,432 is 2
LCM of denominators i.e. for 653,753 is 491709.
Thus, GCF of Fractions is 2/491709.Finally, GCF of Fractions for 166/653, 432/753 is 2/491709.