Use our free GCF of Fractions Calculator tool to compute the GCF of 7357/895, 9446/6505 i.e 1/1164395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7357/895, 9446/6505.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7357/895,9446/6505
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 7357/895,9446/6505, numerators are 7357,9446
Denominators are 895,6505
The GCF of 7357,9446 is 1 .
LCM of 895,6505 is 1164395.
The greatest common factor of 7357/895,9446/6505 = [GCF of 7357,9446]/[LCM of 895,6505]= 1/1164395
Therefore, the GCF of 7357/895,9446/6505 is 1/1164395.
To find the highest common factor of 7357,9446, we have to find the factors of both numbers and list the highest common factor.
The factors of 7357 are 1, 7, 1051, 7357
The factors of 9446 are 1, 2, 4723, 9446
The HCF of 7357,9446 is 1.
Lets's calculate GCF of 7357,9446
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7357
:1,7,1051,7357
Now, list down the factors of 9446
:1,2,4723,9446
Greatest Common Factor
We found the factors 7357,9446 . The biggest common factor number is the GCF number.
So the greatest common factor 7357,9446 is 1.
Lets's calculate LCM of 895,6505
5 | 895, 6505 |
179, 1301 |
∴ So the LCM of the given numbers is 5 x 179 x 1301 = 1164395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1164395
Therefore, the GCF of Fractions 7357/895,9446/6505 is 1/1164395
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 895,6505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,6505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(895,6505) x common factors =5 x 1 = 5
LCM(895,6505) = ( 895 × 6505 ) / 5
LCM(895,6505) = 5821975 / 5
LCM(895,6505) = 1164395
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7357,9446?
The HCF of 7357,9446 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 7357/895, 9446/6505?
Answer: GCF of Numerators as per given numbers 7357/895, 9446/6505 is
GCF of Numerators i.e. for 7357,9446 is 1
LCM of denominators i.e. for 895,6505 is 1164395.
Thus, GCF of Fractions is 1/1164395.Finally, GCF of Fractions for 7357/895, 9446/6505 is 1/1164395.