Use our free GCF of Fractions Calculator tool to compute the GCF of 665/736, 742/808 i.e 7/74336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 665/736, 742/808.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/736,742/808
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 665/736,742/808, numerators are 665,742
Denominators are 736,808
The GCF of 665,742 is 7 .
LCM of 736,808 is 74336.
The greatest common factor of 665/736,742/808 = [GCF of 665,742]/[LCM of 736,808]= 7/74336
Therefore, the GCF of 665/736,742/808 is 7/74336.
To find the highest common factor of 665,742, we have to find the factors of both numbers and list the highest common factor.
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 665,742 is 7.
Lets's calculate GCF of 665,742
7 | 665, 742 |
95, 106 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 665,742 . The biggest common factor number is the GCF number.
So the greatest common factor 665,742 is 7.
Lets's calculate LCM of 736,808
2 | 736, 808 |
2 | 368, 404 |
2 | 184, 202 |
92, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 101 = 74336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/74336
Therefore, the GCF of Fractions 665/736,742/808 is 7/74336
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 736,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,808) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(736,808) x common factors =8 x 1 = 8
LCM(736,808) = ( 736 × 808 ) / 8
LCM(736,808) = 594688 / 8
LCM(736,808) = 74336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 665,742?
The HCF of 665,742 is 7
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 665/736, 742/808?
Answer: GCF of Numerators as per given numbers 665/736, 742/808 is
GCF of Numerators i.e. for 665,742 is 7
LCM of denominators i.e. for 736,808 is 74336.
Thus, GCF of Fractions is 7/74336.Finally, GCF of Fractions for 665/736, 742/808 is 7/74336.