GCF of 7409/845, 4780/8089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7409/845, 4780/8089 i.e 239/6835205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7409/845, 4780/8089.
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 7409/845,4780/8089?
Given fractions are 7409/845,4780/8089
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 7409/845,4780/8089, numerators are 7409,4780
Denominators are 845,8089
The GCF of 7409,4780 is 239 .
LCM of 845,8089 is 6835205.
The greatest common factor of 7409/845,4780/8089 = [GCF of 7409,4780]/[LCM of 845,8089]= 239/6835205
Therefore, the GCF of 7409/845,4780/8089 is 239/6835205.
To find the highest common factor of 7409,4780, we have to find the factors of both numbers and list the highest common factor.
The factors of 7409 are 1, 31, 239, 7409
The factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780
The HCF of 7409,4780 is 239.
Lets's calculate GCF of 7409,4780
| 239 | 7409, 4780 |
| 31, 20 |
∴ So the GCF of the given numbers is 239 = 239
Greatest Common Factor of 7409,4780 By Matching Biggest Common Factor Method
Now, list down the factors of 7409
:1,31,239,7409
Now, list down the factors of 4780
:1,2,4,5,10,20,239,478,956,1195,2390,4780
Greatest Common Factor
We found the factors 7409,4780 . The biggest common factor number is the GCF number.
So the greatest common factor 7409,4780 is 239.
Lets's calculate LCM of 845,8089
Given numbers has no common factors except 1. So, there LCM is their product i.e 6835205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 239/6835205
Therefore, the GCF of Fractions 7409/845,4780/8089 is 239/6835205
Least Common Multiple of 845,8089 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 845,8089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,8089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,8089) x common factors =1 x 1 = 1
LCM(845,8089) = ( 845 × 8089 ) / 1
LCM(845,8089) = 6835205 / 1
LCM(845,8089) = 6835205
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7409/845, 4780/8089
1. What is the HCF of 7409,4780?
The HCF of 7409,4780 is 239
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 7409/845, 4780/8089?
Answer: GCF of Numerators as per given numbers 7409/845, 4780/8089 is
GCF of Numerators i.e. for 7409,4780 is 239
LCM of denominators i.e. for 845,8089 is 6835205.
Thus, GCF of Fractions is 239/6835205.Finally, GCF of Fractions for 7409/845, 4780/8089 is 239/6835205.