Use our free GCF of Fractions Calculator tool to compute the GCF of 97/17, 975/77, 542/172 i.e 1/225148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/17, 975/77, 542/172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/17,975/77,542/172
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 97/17,975/77,542/172, numerators are 97,975,542
Denominators are 17,77,172
The GCF of 97,975,542 is 1 .
LCM of 17,77,172 is 225148.
The greatest common factor of 97/17,975/77,542/172 = [GCF of 97,975,542]/[LCM of 17,77,172]= 1/225148
Therefore, the GCF of 97/17,975/77,542/172 is 1/225148.
To find the highest common factor of 97,975,542, 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 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The factors of 542 are 1, 2, 271, 542
The HCF of 97,975,542 is 1.
Lets's calculate GCF of 97,975,542
∴ 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 975
:1,3,5,13,15,25,39,65,75,195,325,975
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 97,975,542 . The biggest common factor number is the GCF number.
So the greatest common factor 97,975,542 is 1.
Lets's calculate LCM of 17,77,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 225148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225148
Therefore, the GCF of Fractions 97/17,975/77,542/172 is 1/225148
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 17,77,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,77,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,77,172) x common factors =1 x 1 = 1
LCM(17,77,172) = ( 17 × 77 × 172 ) / 1
LCM(17,77,172) = 225148 / 1
LCM(17,77,172) = 225148
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,975,542?
The HCF of 97,975,542 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 97/17, 975/77, 542/172?
Answer: GCF of Numerators as per given numbers 97/17, 975/77, 542/172 is
GCF of Numerators i.e. for 97,975,542 is 1
LCM of denominators i.e. for 17,77,172 is 225148.
Thus, GCF of Fractions is 1/225148.Finally, GCF of Fractions for 97/17, 975/77, 542/172 is 1/225148.