Use our free GCF of Fractions Calculator tool to compute the GCF of 69/734, 85/598 i.e 1/219466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/734, 85/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/734,85/598
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 69/734,85/598, numerators are 69,85
Denominators are 734,598
The GCF of 69,85 is 1 .
LCM of 734,598 is 219466.
The greatest common factor of 69/734,85/598 = [GCF of 69,85]/[LCM of 734,598]= 1/219466
Therefore, the GCF of 69/734,85/598 is 1/219466.
To find the highest common factor of 69,85, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 85 are 1, 5, 17, 85
The HCF of 69,85 is 1.
Lets's calculate GCF of 69,85
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 85
:1,5,17,85
Greatest Common Factor
We found the factors 69,85 . The biggest common factor number is the GCF number.
So the greatest common factor 69,85 is 1.
Lets's calculate LCM of 734,598
2 | 734, 598 |
367, 299 |
∴ So the LCM of the given numbers is 2 x 367 x 299 = 219466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219466
Therefore, the GCF of Fractions 69/734,85/598 is 1/219466
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 734,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,598) x common factors =2 x 1 = 2
LCM(734,598) = ( 734 × 598 ) / 2
LCM(734,598) = 438932 / 2
LCM(734,598) = 219466
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,85?
The HCF of 69,85 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 69/734, 85/598?
Answer: GCF of Numerators as per given numbers 69/734, 85/598 is
GCF of Numerators i.e. for 69,85 is 1
LCM of denominators i.e. for 734,598 is 219466.
Thus, GCF of Fractions is 1/219466.Finally, GCF of Fractions for 69/734, 85/598 is 1/219466.