Use our free GCF of Fractions Calculator tool to compute the GCF of 732/633, 648/478 i.e 12/302574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/633, 648/478.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 732/633,648/478
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 732/633,648/478, numerators are 732,648
Denominators are 633,478
The GCF of 732,648 is 12 .
LCM of 633,478 is 302574.
The greatest common factor of 732/633,648/478 = [GCF of 732,648]/[LCM of 633,478]= 12/302574
Therefore, the GCF of 732/633,648/478 is 12/302574.
To find the highest common factor of 732,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 HCF of 732,648 is 12.
Lets's calculate GCF of 732,648
2 | 732, 648 |
2 | 366, 324 |
3 | 183, 162 |
61, 54 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
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
Greatest Common Factor
We found the factors 732,648 . The biggest common factor number is the GCF number.
So the greatest common factor 732,648 is 12.
Lets's calculate LCM of 633,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 302574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/302574
Therefore, the GCF of Fractions 732/633,648/478 is 12/302574
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 633,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,478) x common factors =1 x 1 = 1
LCM(633,478) = ( 633 × 478 ) / 1
LCM(633,478) = 302574 / 1
LCM(633,478) = 302574
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 732,648?
The HCF of 732,648 is 12
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 732/633, 648/478?
Answer: GCF of Numerators as per given numbers 732/633, 648/478 is
GCF of Numerators i.e. for 732,648 is 12
LCM of denominators i.e. for 633,478 is 302574.
Thus, GCF of Fractions is 12/302574.Finally, GCF of Fractions for 732/633, 648/478 is 12/302574.