Use our free GCF of Fractions Calculator tool to compute the GCF of 7064/915, 5089/9515 i.e 1/1741245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7064/915, 5089/9515.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7064/915,5089/9515
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 7064/915,5089/9515, numerators are 7064,5089
Denominators are 915,9515
The GCF of 7064,5089 is 1 .
LCM of 915,9515 is 1741245.
The greatest common factor of 7064/915,5089/9515 = [GCF of 7064,5089]/[LCM of 915,9515]= 1/1741245
Therefore, the GCF of 7064/915,5089/9515 is 1/1741245.
To find the highest common factor of 7064,5089, we have to find the factors of both numbers and list the highest common factor.
The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064
The factors of 5089 are 1, 7, 727, 5089
The HCF of 7064,5089 is 1.
Lets's calculate GCF of 7064,5089
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7064
:1,2,4,8,883,1766,3532,7064
Now, list down the factors of 5089
:1,7,727,5089
Greatest Common Factor
We found the factors 7064,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 7064,5089 is 1.
Lets's calculate LCM of 915,9515
5 | 915, 9515 |
183, 1903 |
∴ So the LCM of the given numbers is 5 x 183 x 1903 = 1741245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1741245
Therefore, the GCF of Fractions 7064/915,5089/9515 is 1/1741245
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 915,9515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,9515) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(915,9515) x common factors =5 x 1 = 5
LCM(915,9515) = ( 915 × 9515 ) / 5
LCM(915,9515) = 8706225 / 5
LCM(915,9515) = 1741245
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7064,5089?
The HCF of 7064,5089 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 7064/915, 5089/9515?
Answer: GCF of Numerators as per given numbers 7064/915, 5089/9515 is
GCF of Numerators i.e. for 7064,5089 is 1
LCM of denominators i.e. for 915,9515 is 1741245.
Thus, GCF of Fractions is 1/1741245.Finally, GCF of Fractions for 7064/915, 5089/9515 is 1/1741245.