Use our free GCF of Fractions Calculator tool to compute the GCF of 715/177, 597/849 i.e 1/50091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/177, 597/849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/177,597/849
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 715/177,597/849, numerators are 715,597
Denominators are 177,849
The GCF of 715,597 is 1 .
LCM of 177,849 is 50091.
The greatest common factor of 715/177,597/849 = [GCF of 715,597]/[LCM of 177,849]= 1/50091
Therefore, the GCF of 715/177,597/849 is 1/50091.
To find the highest common factor of 715,597, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 597 are 1, 3, 199, 597
The HCF of 715,597 is 1.
Lets's calculate GCF of 715,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 597
:1,3,199,597
Greatest Common Factor
We found the factors 715,597 . The biggest common factor number is the GCF number.
So the greatest common factor 715,597 is 1.
Lets's calculate LCM of 177,849
3 | 177, 849 |
59, 283 |
∴ So the LCM of the given numbers is 3 x 59 x 283 = 50091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50091
Therefore, the GCF of Fractions 715/177,597/849 is 1/50091
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 177,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,849) x common factors =3 x 1 = 3
LCM(177,849) = ( 177 × 849 ) / 3
LCM(177,849) = 150273 / 3
LCM(177,849) = 50091
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 715,597?
The HCF of 715,597 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 715/177, 597/849?
Answer: GCF of Numerators as per given numbers 715/177, 597/849 is
GCF of Numerators i.e. for 715,597 is 1
LCM of denominators i.e. for 177,849 is 50091.
Thus, GCF of Fractions is 1/50091.Finally, GCF of Fractions for 715/177, 597/849 is 1/50091.