Use our free GCF of Fractions Calculator tool to compute the GCF of 9048/772, 9091/9605 i.e 1/7415060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9048/772, 9091/9605.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9048/772,9091/9605
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 9048/772,9091/9605, numerators are 9048,9091
Denominators are 772,9605
The GCF of 9048,9091 is 1 .
LCM of 772,9605 is 7415060.
The greatest common factor of 9048/772,9091/9605 = [GCF of 9048,9091]/[LCM of 772,9605]= 1/7415060
Therefore, the GCF of 9048/772,9091/9605 is 1/7415060.
To find the highest common factor of 9048,9091, we have to find the factors of both numbers and list the highest common factor.
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The factors of 9091 are 1, 9091
The HCF of 9048,9091 is 1.
Lets's calculate GCF of 9048,9091
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Now, list down the factors of 9091
:1,9091
Greatest Common Factor
We found the factors 9048,9091 . The biggest common factor number is the GCF number.
So the greatest common factor 9048,9091 is 1.
Lets's calculate LCM of 772,9605
Given numbers has no common factors except 1. So, there LCM is their product i.e 7415060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7415060
Therefore, the GCF of Fractions 9048/772,9091/9605 is 1/7415060
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 772,9605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,9605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,9605) x common factors =1 x 1 = 1
LCM(772,9605) = ( 772 × 9605 ) / 1
LCM(772,9605) = 7415060 / 1
LCM(772,9605) = 7415060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9048,9091?
The HCF of 9048,9091 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 9048/772, 9091/9605?
Answer: GCF of Numerators as per given numbers 9048/772, 9091/9605 is
GCF of Numerators i.e. for 9048,9091 is 1
LCM of denominators i.e. for 772,9605 is 7415060.
Thus, GCF of Fractions is 1/7415060.Finally, GCF of Fractions for 9048/772, 9091/9605 is 1/7415060.