Use our free GCF of Fractions Calculator tool to compute the GCF of 182/837, 648/728 i.e 2/609336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/837, 648/728.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/837,648/728
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 182/837,648/728, numerators are 182,648
Denominators are 837,728
The GCF of 182,648 is 2 .
LCM of 837,728 is 609336.
The greatest common factor of 182/837,648/728 = [GCF of 182,648]/[LCM of 837,728]= 2/609336
Therefore, the GCF of 182/837,648/728 is 2/609336.
To find the highest common factor of 182,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
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 182,648 is 2.
Lets's calculate GCF of 182,648
2 | 182, 648 |
91, 324 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
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 182,648 . The biggest common factor number is the GCF number.
So the greatest common factor 182,648 is 2.
Lets's calculate LCM of 837,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 609336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/609336
Therefore, the GCF of Fractions 182/837,648/728 is 2/609336
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 837,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,728) x common factors =1 x 1 = 1
LCM(837,728) = ( 837 × 728 ) / 1
LCM(837,728) = 609336 / 1
LCM(837,728) = 609336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 182,648?
The HCF of 182,648 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 182/837, 648/728?
Answer: GCF of Numerators as per given numbers 182/837, 648/728 is
GCF of Numerators i.e. for 182,648 is 2
LCM of denominators i.e. for 837,728 is 609336.
Thus, GCF of Fractions is 2/609336.Finally, GCF of Fractions for 182/837, 648/728 is 2/609336.