Use our free GCF of Fractions Calculator tool to compute the GCF of 152/305, 613/682 i.e 1/208010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/305, 613/682.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/305,613/682
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 152/305,613/682, numerators are 152,613
Denominators are 305,682
The GCF of 152,613 is 1 .
LCM of 305,682 is 208010.
The greatest common factor of 152/305,613/682 = [GCF of 152,613]/[LCM of 305,682]= 1/208010
Therefore, the GCF of 152/305,613/682 is 1/208010.
To find the highest common factor of 152,613, we have to find the factors of both numbers and list the highest common factor.
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The factors of 613 are 1, 613
The HCF of 152,613 is 1.
Lets's calculate GCF of 152,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Now, list down the factors of 613
:1,613
Greatest Common Factor
We found the factors 152,613 . The biggest common factor number is the GCF number.
So the greatest common factor 152,613 is 1.
Lets's calculate LCM of 305,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 208010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208010
Therefore, the GCF of Fractions 152/305,613/682 is 1/208010
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 305,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,682) x common factors =1 x 1 = 1
LCM(305,682) = ( 305 × 682 ) / 1
LCM(305,682) = 208010 / 1
LCM(305,682) = 208010
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 152,613?
The HCF of 152,613 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 152/305, 613/682?
Answer: GCF of Numerators as per given numbers 152/305, 613/682 is
GCF of Numerators i.e. for 152,613 is 1
LCM of denominators i.e. for 305,682 is 208010.
Thus, GCF of Fractions is 1/208010.Finally, GCF of Fractions for 152/305, 613/682 is 1/208010.