Use our free GCF of Fractions Calculator tool to compute the GCF of 5958/953, 9567/9427 i.e 9/8983931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5958/953, 9567/9427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5958/953,9567/9427
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 5958/953,9567/9427, numerators are 5958,9567
Denominators are 953,9427
The GCF of 5958,9567 is 9 .
LCM of 953,9427 is 8983931.
The greatest common factor of 5958/953,9567/9427 = [GCF of 5958,9567]/[LCM of 953,9427]= 9/8983931
Therefore, the GCF of 5958/953,9567/9427 is 9/8983931.
To find the highest common factor of 5958,9567, we have to find the factors of both numbers and list the highest common factor.
The factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958
The factors of 9567 are 1, 3, 9, 1063, 3189, 9567
The HCF of 5958,9567 is 9.
Lets's calculate GCF of 5958,9567
3 | 5958, 9567 |
3 | 1986, 3189 |
662, 1063 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 5958
:1,2,3,6,9,18,331,662,993,1986,2979,5958
Now, list down the factors of 9567
:1,3,9,1063,3189,9567
Greatest Common Factor
We found the factors 5958,9567 . The biggest common factor number is the GCF number.
So the greatest common factor 5958,9567 is 9.
Lets's calculate LCM of 953,9427
Given numbers has no common factors except 1. So, there LCM is their product i.e 8983931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8983931
Therefore, the GCF of Fractions 5958/953,9567/9427 is 9/8983931
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 953,9427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,9427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,9427) x common factors =1 x 1 = 1
LCM(953,9427) = ( 953 × 9427 ) / 1
LCM(953,9427) = 8983931 / 1
LCM(953,9427) = 8983931
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5958,9567?
The HCF of 5958,9567 is 9
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 5958/953, 9567/9427?
Answer: GCF of Numerators as per given numbers 5958/953, 9567/9427 is
GCF of Numerators i.e. for 5958,9567 is 9
LCM of denominators i.e. for 953,9427 is 8983931.
Thus, GCF of Fractions is 9/8983931.Finally, GCF of Fractions for 5958/953, 9567/9427 is 9/8983931.