Use our free GCF of Fractions Calculator tool to compute the GCF of 4580/767, 8215/9278 i.e 5/7116226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4580/767, 8215/9278.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4580/767,8215/9278
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 4580/767,8215/9278, numerators are 4580,8215
Denominators are 767,9278
The GCF of 4580,8215 is 5 .
LCM of 767,9278 is 7116226.
The greatest common factor of 4580/767,8215/9278 = [GCF of 4580,8215]/[LCM of 767,9278]= 5/7116226
Therefore, the GCF of 4580/767,8215/9278 is 5/7116226.
To find the highest common factor of 4580,8215, we have to find the factors of both numbers and list the highest common factor.
The factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The HCF of 4580,8215 is 5.
Lets's calculate GCF of 4580,8215
5 | 4580, 8215 |
916, 1643 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 4580
:1,2,4,5,10,20,229,458,916,1145,2290,4580
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 4580,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 4580,8215 is 5.
Lets's calculate LCM of 767,9278
Given numbers has no common factors except 1. So, there LCM is their product i.e 7116226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7116226
Therefore, the GCF of Fractions 4580/767,8215/9278 is 5/7116226
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 767,9278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,9278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,9278) x common factors =1 x 1 = 1
LCM(767,9278) = ( 767 × 9278 ) / 1
LCM(767,9278) = 7116226 / 1
LCM(767,9278) = 7116226
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4580,8215?
The HCF of 4580,8215 is 5
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 4580/767, 8215/9278?
Answer: GCF of Numerators as per given numbers 4580/767, 8215/9278 is
GCF of Numerators i.e. for 4580,8215 is 5
LCM of denominators i.e. for 767,9278 is 7116226.
Thus, GCF of Fractions is 5/7116226.Finally, GCF of Fractions for 4580/767, 8215/9278 is 5/7116226.