Use our free GCF of Fractions Calculator tool to compute the GCF of 7391/776, 9040/4255 i.e 1/3301880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7391/776, 9040/4255.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7391/776,9040/4255
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 7391/776,9040/4255, numerators are 7391,9040
Denominators are 776,4255
The GCF of 7391,9040 is 1 .
LCM of 776,4255 is 3301880.
The greatest common factor of 7391/776,9040/4255 = [GCF of 7391,9040]/[LCM of 776,4255]= 1/3301880
Therefore, the GCF of 7391/776,9040/4255 is 1/3301880.
To find the highest common factor of 7391,9040, we have to find the factors of both numbers and list the highest common factor.
The factors of 7391 are 1, 19, 389, 7391
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The HCF of 7391,9040 is 1.
Lets's calculate GCF of 7391,9040
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7391
:1,19,389,7391
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 7391,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 7391,9040 is 1.
Lets's calculate LCM of 776,4255
Given numbers has no common factors except 1. So, there LCM is their product i.e 3301880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3301880
Therefore, the GCF of Fractions 7391/776,9040/4255 is 1/3301880
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 776,4255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,4255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,4255) x common factors =1 x 1 = 1
LCM(776,4255) = ( 776 × 4255 ) / 1
LCM(776,4255) = 3301880 / 1
LCM(776,4255) = 3301880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7391,9040?
The HCF of 7391,9040 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 7391/776, 9040/4255?
Answer: GCF of Numerators as per given numbers 7391/776, 9040/4255 is
GCF of Numerators i.e. for 7391,9040 is 1
LCM of denominators i.e. for 776,4255 is 3301880.
Thus, GCF of Fractions is 1/3301880.Finally, GCF of Fractions for 7391/776, 9040/4255 is 1/3301880.