Use our free GCF of Fractions Calculator tool to compute the GCF of 187/998, 651/682 i.e 1/340318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/998, 651/682.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/998,651/682
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 187/998,651/682, numerators are 187,651
Denominators are 998,682
The GCF of 187,651 is 1 .
LCM of 998,682 is 340318.
The greatest common factor of 187/998,651/682 = [GCF of 187,651]/[LCM of 998,682]= 1/340318
Therefore, the GCF of 187/998,651/682 is 1/340318.
To find the highest common factor of 187,651, we have to find the factors of both numbers and list the highest common factor.
The factors of 187 are 1, 11, 17, 187
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The HCF of 187,651 is 1.
Lets's calculate GCF of 187,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 187
:1,11,17,187
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 187,651 . The biggest common factor number is the GCF number.
So the greatest common factor 187,651 is 1.
Lets's calculate LCM of 998,682
2 | 998, 682 |
499, 341 |
∴ So the LCM of the given numbers is 2 x 499 x 341 = 340318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340318
Therefore, the GCF of Fractions 187/998,651/682 is 1/340318
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 998,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,682) x common factors =2 x 1 = 2
LCM(998,682) = ( 998 × 682 ) / 2
LCM(998,682) = 680636 / 2
LCM(998,682) = 340318
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 187,651?
The HCF of 187,651 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 187/998, 651/682?
Answer: GCF of Numerators as per given numbers 187/998, 651/682 is
GCF of Numerators i.e. for 187,651 is 1
LCM of denominators i.e. for 998,682 is 340318.
Thus, GCF of Fractions is 1/340318.Finally, GCF of Fractions for 187/998, 651/682 is 1/340318.