Use our free GCF of Fractions Calculator tool to compute the GCF of 464/776, 736/188 i.e 16/36472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 464/776, 736/188.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/776,736/188
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 464/776,736/188, numerators are 464,736
Denominators are 776,188
The GCF of 464,736 is 16 .
LCM of 776,188 is 36472.
The greatest common factor of 464/776,736/188 = [GCF of 464,736]/[LCM of 776,188]= 16/36472
Therefore, the GCF of 464/776,736/188 is 16/36472.
To find the highest common factor of 464,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 464,736 is 16.
Lets's calculate GCF of 464,736
2 | 464, 736 |
2 | 232, 368 |
2 | 116, 184 |
2 | 58, 92 |
29, 46 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 464,736 . The biggest common factor number is the GCF number.
So the greatest common factor 464,736 is 16.
Lets's calculate LCM of 776,188
2 | 776, 188 |
2 | 388, 94 |
194, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 194 x 47 = 36472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/36472
Therefore, the GCF of Fractions 464/776,736/188 is 16/36472
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 776,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(776,188) x common factors =4 x 1 = 4
LCM(776,188) = ( 776 × 188 ) / 4
LCM(776,188) = 145888 / 4
LCM(776,188) = 36472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 464,736?
The HCF of 464,736 is 16
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 464/776, 736/188?
Answer: GCF of Numerators as per given numbers 464/776, 736/188 is
GCF of Numerators i.e. for 464,736 is 16
LCM of denominators i.e. for 776,188 is 36472.
Thus, GCF of Fractions is 16/36472.Finally, GCF of Fractions for 464/776, 736/188 is 16/36472.