GCF of 197/75, 971/9717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/75, 971/9717 i.e 1/242925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/75, 971/9717.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 197/75,971/9717?
Given fractions are 197/75,971/9717
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 197/75,971/9717, numerators are 197,971
Denominators are 75,9717
The GCF of 197,971 is 1 .
LCM of 75,9717 is 242925.
The greatest common factor of 197/75,971/9717 = [GCF of 197,971]/[LCM of 75,9717]= 1/242925
Therefore, the GCF of 197/75,971/9717 is 1/242925.
To find the highest common factor of 197,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 197 are 1, 197
The factors of 971 are 1, 971
The HCF of 197,971 is 1.
Lets's calculate GCF of 197,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 197,971 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 197,971 . The biggest common factor number is the GCF number.
So the greatest common factor 197,971 is 1.
Lets's calculate LCM of 75,9717
| 3 | 75, 9717 |
| 25, 3239 |
∴ So the LCM of the given numbers is 3 x 25 x 3239 = 242925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242925
Therefore, the GCF of Fractions 197/75,971/9717 is 1/242925
Least Common Multiple of 75,9717 with GCF Formula
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 75,9717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,9717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,9717) x common factors =3 x 1 = 3
LCM(75,9717) = ( 75 × 9717 ) / 3
LCM(75,9717) = 728775 / 3
LCM(75,9717) = 242925
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FAQs on GCF of Fractions of 197/75, 971/9717
1. What is the HCF of 197,971?
The HCF of 197,971 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 197/75, 971/9717?
Answer: GCF of Numerators as per given numbers 197/75, 971/9717 is
GCF of Numerators i.e. for 197,971 is 1
LCM of denominators i.e. for 75,9717 is 242925.
Thus, GCF of Fractions is 1/242925.Finally, GCF of Fractions for 197/75, 971/9717 is 1/242925.