Use our free GCF of Fractions Calculator tool to compute the GCF of 17/70, 786/27, 164/197 i.e 1/372330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/70, 786/27, 164/197.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/70,786/27,164/197
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 17/70,786/27,164/197, numerators are 17,786,164
Denominators are 70,27,197
The GCF of 17,786,164 is 1 .
LCM of 70,27,197 is 372330.
The greatest common factor of 17/70,786/27,164/197 = [GCF of 17,786,164]/[LCM of 70,27,197]= 1/372330
Therefore, the GCF of 17/70,786/27,164/197 is 1/372330.
To find the highest common factor of 17,786,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 17,786,164 is 1.
Lets's calculate GCF of 17,786,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 17,786,164 . The biggest common factor number is the GCF number.
So the greatest common factor 17,786,164 is 1.
Lets's calculate LCM of 70,27,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 372330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372330
Therefore, the GCF of Fractions 17/70,786/27,164/197 is 1/372330
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 70,27,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,27,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,27,197) x common factors =1 x 1 = 1
LCM(70,27,197) = ( 70 × 27 × 197 ) / 1
LCM(70,27,197) = 372330 / 1
LCM(70,27,197) = 372330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,786,164?
The HCF of 17,786,164 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 17/70, 786/27, 164/197?
Answer: GCF of Numerators as per given numbers 17/70, 786/27, 164/197 is
GCF of Numerators i.e. for 17,786,164 is 1
LCM of denominators i.e. for 70,27,197 is 372330.
Thus, GCF of Fractions is 1/372330.Finally, GCF of Fractions for 17/70, 786/27, 164/197 is 1/372330.