Use our free GCF of Fractions Calculator tool to compute the GCF of 67/803, 409/250, 712/307 i.e 1/61630250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/803, 409/250, 712/307.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/803,409/250,712/307
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 67/803,409/250,712/307, numerators are 67,409,712
Denominators are 803,250,307
The GCF of 67,409,712 is 1 .
LCM of 803,250,307 is 61630250.
The greatest common factor of 67/803,409/250,712/307 = [GCF of 67,409,712]/[LCM of 803,250,307]= 1/61630250
Therefore, the GCF of 67/803,409/250,712/307 is 1/61630250.
To find the highest common factor of 67,409,712, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 409 are 1, 409
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The HCF of 67,409,712 is 1.
Lets's calculate GCF of 67,409,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 67
:1,67
Now, list down the factors of 409
:1,409
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 67,409,712 . The biggest common factor number is the GCF number.
So the greatest common factor 67,409,712 is 1.
Lets's calculate LCM of 803,250,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 61630250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61630250
Therefore, the GCF of Fractions 67/803,409/250,712/307 is 1/61630250
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 803,250,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,250,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,250,307) x common factors =1 x 1 = 1
LCM(803,250,307) = ( 803 × 250 × 307 ) / 1
LCM(803,250,307) = 61630250 / 1
LCM(803,250,307) = 61630250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 67,409,712?
The HCF of 67,409,712 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 67/803, 409/250, 712/307?
Answer: GCF of Numerators as per given numbers 67/803, 409/250, 712/307 is
GCF of Numerators i.e. for 67,409,712 is 1
LCM of denominators i.e. for 803,250,307 is 61630250.
Thus, GCF of Fractions is 1/61630250.Finally, GCF of Fractions for 67/803, 409/250, 712/307 is 1/61630250.