GCF of 197/431, 7831/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/431, 7831/862 i.e 1/862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/431, 7831/862.
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 197/431,7831/862?
Given fractions are 197/431,7831/862
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 197/431,7831/862, numerators are 197,7831
Denominators are 431,862
The GCF of 197,7831 is 1 .
LCM of 431,862 is 862.
The greatest common factor of 197/431,7831/862 = [GCF of 197,7831]/[LCM of 431,862]= 1/862
Therefore, the GCF of 197/431,7831/862 is 1/862.
To find the highest common factor of 197,7831, 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 7831 are 1, 41, 191, 7831
The HCF of 197,7831 is 1.
Lets's calculate GCF of 197,7831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 197,7831 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 7831
:1,41,191,7831
Greatest Common Factor
We found the factors 197,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 197,7831 is 1.
Lets's calculate LCM of 431,862
| 431 | 431, 862 |
| 1, 2 |
∴ So the LCM of the given numbers is 431 x 1 x 2 = 862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/862
Therefore, the GCF of Fractions 197/431,7831/862 is 1/862
Least Common Multiple of 431,862 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 431,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,862) = 431
common factors(in case of two or more numbers have common factors) = 1
GCF(431,862) x common factors =431 x 1 = 431
LCM(431,862) = ( 431 × 862 ) / 431
LCM(431,862) = 371522 / 431
LCM(431,862) = 862
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FAQs on GCF of Fractions of 197/431, 7831/862
1. What is the HCF of 197,7831?
The HCF of 197,7831 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 197/431, 7831/862?
Answer: GCF of Numerators as per given numbers 197/431, 7831/862 is
GCF of Numerators i.e. for 197,7831 is 1
LCM of denominators i.e. for 431,862 is 862.
Thus, GCF of Fractions is 1/862.Finally, GCF of Fractions for 197/431, 7831/862 is 1/862.