GCF of 7365/720, 8744/5778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7365/720, 8744/5778 i.e 1/231120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7365/720, 8744/5778.
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 7365/720,8744/5778?
Given fractions are 7365/720,8744/5778
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 7365/720,8744/5778, numerators are 7365,8744
Denominators are 720,5778
The GCF of 7365,8744 is 1 .
LCM of 720,5778 is 231120.
The greatest common factor of 7365/720,8744/5778 = [GCF of 7365,8744]/[LCM of 720,5778]= 1/231120
Therefore, the GCF of 7365/720,8744/5778 is 1/231120.
To find the highest common factor of 7365,8744, we have to find the factors of both numbers and list the highest common factor.
The factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365
The factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744
The HCF of 7365,8744 is 1.
Lets's calculate GCF of 7365,8744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7365,8744 By Matching Biggest Common Factor Method
Now, list down the factors of 7365
:1,3,5,15,491,1473,2455,7365
Now, list down the factors of 8744
:1,2,4,8,1093,2186,4372,8744
Greatest Common Factor
We found the factors 7365,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 7365,8744 is 1.
Lets's calculate LCM of 720,5778
| 2 | 720, 5778 |
| 3 | 360, 2889 |
| 3 | 120, 963 |
| 40, 321 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 40 x 321 = 231120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231120
Therefore, the GCF of Fractions 7365/720,8744/5778 is 1/231120
Least Common Multiple of 720,5778 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 720,5778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,5778) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(720,5778) x common factors =18 x 1 = 18
LCM(720,5778) = ( 720 × 5778 ) / 18
LCM(720,5778) = 4160160 / 18
LCM(720,5778) = 231120
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7365/720, 8744/5778
1. What is the HCF of 7365,8744?
The HCF of 7365,8744 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 7365/720, 8744/5778?
Answer: GCF of Numerators as per given numbers 7365/720, 8744/5778 is
GCF of Numerators i.e. for 7365,8744 is 1
LCM of denominators i.e. for 720,5778 is 231120.
Thus, GCF of Fractions is 1/231120.Finally, GCF of Fractions for 7365/720, 8744/5778 is 1/231120.