Use our free GCF of Fractions Calculator tool to compute the GCF of 33/865, 651/166, 283/740 i.e 1/10625660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/865, 651/166, 283/740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/865,651/166,283/740
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 33/865,651/166,283/740, numerators are 33,651,283
Denominators are 865,166,740
The GCF of 33,651,283 is 1 .
LCM of 865,166,740 is 10625660.
The greatest common factor of 33/865,651/166,283/740 = [GCF of 33,651,283]/[LCM of 865,166,740]= 1/10625660
Therefore, the GCF of 33/865,651/166,283/740 is 1/10625660.
To find the highest common factor of 33,651,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 283 are 1, 283
The HCF of 33,651,283 is 1.
Lets's calculate GCF of 33,651,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 33,651,283 . The biggest common factor number is the GCF number.
So the greatest common factor 33,651,283 is 1.
Lets's calculate LCM of 865,166,740
2 | 865, 166, 740 |
5 | 865, 83, 370 |
173, 83, 74 |
∴ So the LCM of the given numbers is 2 x 5 x 173 x 83 x 74 = 10625660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10625660
Therefore, the GCF of Fractions 33/865,651/166,283/740 is 1/10625660
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 865,166,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,166,740) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(865,166,740) x common factors =1 x 10 = 10
LCM(865,166,740) = ( 865 × 166 × 740 ) / 10
LCM(865,166,740) = 106256600 / 10
LCM(865,166,740) = 10625660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 33,651,283?
The HCF of 33,651,283 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 33/865, 651/166, 283/740?
Answer: GCF of Numerators as per given numbers 33/865, 651/166, 283/740 is
GCF of Numerators i.e. for 33,651,283 is 1
LCM of denominators i.e. for 865,166,740 is 10625660.
Thus, GCF of Fractions is 1/10625660.Finally, GCF of Fractions for 33/865, 651/166, 283/740 is 1/10625660.