GCF of 744/40, 415/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 744/40, 415/598 i.e 1/11960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 744/40, 415/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 744/40,415/598?
Given fractions are 744/40,415/598
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 744/40,415/598, numerators are 744,415
Denominators are 40,598
The GCF of 744,415 is 1 .
LCM of 40,598 is 11960.
The greatest common factor of 744/40,415/598 = [GCF of 744,415]/[LCM of 40,598]= 1/11960
Therefore, the GCF of 744/40,415/598 is 1/11960.
To find the highest common factor of 744,415, we have to find the factors of both numbers and list the highest common factor.
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The factors of 415 are 1, 5, 83, 415
The HCF of 744,415 is 1.
Lets's calculate GCF of 744,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 744,415 By Matching Biggest Common Factor Method
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Now, list down the factors of 415
:1,5,83,415
Greatest Common Factor
We found the factors 744,415 . The biggest common factor number is the GCF number.
So the greatest common factor 744,415 is 1.
Lets's calculate LCM of 40,598
| 2 | 40, 598 |
| 20, 299 |
∴ So the LCM of the given numbers is 2 x 20 x 299 = 11960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11960
Therefore, the GCF of Fractions 744/40,415/598 is 1/11960
Least Common Multiple of 40,598 with GCF Formula
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 40,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,598) x common factors =2 x 1 = 2
LCM(40,598) = ( 40 × 598 ) / 2
LCM(40,598) = 23920 / 2
LCM(40,598) = 11960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 744/40, 415/598
1. What is the HCF of 744,415?
The HCF of 744,415 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 744/40, 415/598?
Answer: GCF of Numerators as per given numbers 744/40, 415/598 is
GCF of Numerators i.e. for 744,415 is 1
LCM of denominators i.e. for 40,598 is 11960.
Thus, GCF of Fractions is 1/11960.Finally, GCF of Fractions for 744/40, 415/598 is 1/11960.