Use our free GCF of Fractions Calculator tool to compute the GCF of 6135/918, 9023/5807 i.e 1/5330826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6135/918, 9023/5807.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6135/918,9023/5807
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 6135/918,9023/5807, numerators are 6135,9023
Denominators are 918,5807
The GCF of 6135,9023 is 1 .
LCM of 918,5807 is 5330826.
The greatest common factor of 6135/918,9023/5807 = [GCF of 6135,9023]/[LCM of 918,5807]= 1/5330826
Therefore, the GCF of 6135/918,9023/5807 is 1/5330826.
To find the highest common factor of 6135,9023, we have to find the factors of both numbers and list the highest common factor.
The factors of 6135 are 1, 3, 5, 15, 409, 1227, 2045, 6135
The factors of 9023 are 1, 7, 1289, 9023
The HCF of 6135,9023 is 1.
Lets's calculate GCF of 6135,9023
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6135
:1,3,5,15,409,1227,2045,6135
Now, list down the factors of 9023
:1,7,1289,9023
Greatest Common Factor
We found the factors 6135,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,9023 is 1.
Lets's calculate LCM of 918,5807
Given numbers has no common factors except 1. So, there LCM is their product i.e 5330826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5330826
Therefore, the GCF of Fractions 6135/918,9023/5807 is 1/5330826
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 918,5807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,5807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(918,5807) x common factors =1 x 1 = 1
LCM(918,5807) = ( 918 × 5807 ) / 1
LCM(918,5807) = 5330826 / 1
LCM(918,5807) = 5330826
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6135,9023?
The HCF of 6135,9023 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 6135/918, 9023/5807?
Answer: GCF of Numerators as per given numbers 6135/918, 9023/5807 is
GCF of Numerators i.e. for 6135,9023 is 1
LCM of denominators i.e. for 918,5807 is 5330826.
Thus, GCF of Fractions is 1/5330826.Finally, GCF of Fractions for 6135/918, 9023/5807 is 1/5330826.