Use our free GCF of Fractions Calculator tool to compute the GCF of 97/79, 177/35, 186/648 i.e 1/1791720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/79, 177/35, 186/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/79,177/35,186/648
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 97/79,177/35,186/648, numerators are 97,177,186
Denominators are 79,35,648
The GCF of 97,177,186 is 1 .
LCM of 79,35,648 is 1791720.
The greatest common factor of 97/79,177/35,186/648 = [GCF of 97,177,186]/[LCM of 79,35,648]= 1/1791720
Therefore, the GCF of 97/79,177/35,186/648 is 1/1791720.
To find the highest common factor of 97,177,186, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 177 are 1, 3, 59, 177
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The HCF of 97,177,186 is 1.
Lets's calculate GCF of 97,177,186
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 177
:1,3,59,177
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 97,177,186 . The biggest common factor number is the GCF number.
So the greatest common factor 97,177,186 is 1.
Lets's calculate LCM of 79,35,648
Given numbers has no common factors except 1. So, there LCM is their product i.e 1791720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791720
Therefore, the GCF of Fractions 97/79,177/35,186/648 is 1/1791720
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 79,35,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,35,648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,35,648) x common factors =1 x 1 = 1
LCM(79,35,648) = ( 79 × 35 × 648 ) / 1
LCM(79,35,648) = 1791720 / 1
LCM(79,35,648) = 1791720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,177,186?
The HCF of 97,177,186 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 97/79, 177/35, 186/648?
Answer: GCF of Numerators as per given numbers 97/79, 177/35, 186/648 is
GCF of Numerators i.e. for 97,177,186 is 1
LCM of denominators i.e. for 79,35,648 is 1791720.
Thus, GCF of Fractions is 1/1791720.Finally, GCF of Fractions for 97/79, 177/35, 186/648 is 1/1791720.