Use our free GCF of Fractions Calculator tool to compute the GCF of 45/92, 648/39, 145/433 i.e 1/1553604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/92, 648/39, 145/433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/92,648/39,145/433
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 45/92,648/39,145/433, numerators are 45,648,145
Denominators are 92,39,433
The GCF of 45,648,145 is 1 .
LCM of 92,39,433 is 1553604.
The greatest common factor of 45/92,648/39,145/433 = [GCF of 45,648,145]/[LCM of 92,39,433]= 1/1553604
Therefore, the GCF of 45/92,648/39,145/433 is 1/1553604.
To find the highest common factor of 45,648,145, we have to find the factors of both numbers and list the highest common factor.
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The factors of 145 are 1, 5, 29, 145
The HCF of 45,648,145 is 1.
Lets's calculate GCF of 45,648,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Now, list down the factors of 145
:1,5,29,145
Greatest Common Factor
We found the factors 45,648,145 . The biggest common factor number is the GCF number.
So the greatest common factor 45,648,145 is 1.
Lets's calculate LCM of 92,39,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 1553604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1553604
Therefore, the GCF of Fractions 45/92,648/39,145/433 is 1/1553604
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 92,39,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,39,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,39,433) x common factors =1 x 1 = 1
LCM(92,39,433) = ( 92 × 39 × 433 ) / 1
LCM(92,39,433) = 1553604 / 1
LCM(92,39,433) = 1553604
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 45,648,145?
The HCF of 45,648,145 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 45/92, 648/39, 145/433?
Answer: GCF of Numerators as per given numbers 45/92, 648/39, 145/433 is
GCF of Numerators i.e. for 45,648,145 is 1
LCM of denominators i.e. for 92,39,433 is 1553604.
Thus, GCF of Fractions is 1/1553604.Finally, GCF of Fractions for 45/92, 648/39, 145/433 is 1/1553604.