Use our free GCF of Fractions Calculator tool to compute the GCF of 731/685, 916/615 i.e 1/84255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/685, 916/615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 731/685,916/615
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 731/685,916/615, numerators are 731,916
Denominators are 685,615
The GCF of 731,916 is 1 .
LCM of 685,615 is 84255.
The greatest common factor of 731/685,916/615 = [GCF of 731,916]/[LCM of 685,615]= 1/84255
Therefore, the GCF of 731/685,916/615 is 1/84255.
To find the highest common factor of 731,916, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 916 are 1, 2, 4, 229, 458, 916
The HCF of 731,916 is 1.
Lets's calculate GCF of 731,916
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 916
:1,2,4,229,458,916
Greatest Common Factor
We found the factors 731,916 . The biggest common factor number is the GCF number.
So the greatest common factor 731,916 is 1.
Lets's calculate LCM of 685,615
5 | 685, 615 |
137, 123 |
∴ So the LCM of the given numbers is 5 x 137 x 123 = 84255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84255
Therefore, the GCF of Fractions 731/685,916/615 is 1/84255
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 685,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,615) x common factors =5 x 1 = 5
LCM(685,615) = ( 685 × 615 ) / 5
LCM(685,615) = 421275 / 5
LCM(685,615) = 84255
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 731,916?
The HCF of 731,916 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 731/685, 916/615?
Answer: GCF of Numerators as per given numbers 731/685, 916/615 is
GCF of Numerators i.e. for 731,916 is 1
LCM of denominators i.e. for 685,615 is 84255.
Thus, GCF of Fractions is 1/84255.Finally, GCF of Fractions for 731/685, 916/615 is 1/84255.