Use our free GCF of Fractions Calculator tool to compute the GCF of 6634/772, 2017/9840 i.e 1/1899120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6634/772, 2017/9840.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6634/772,2017/9840
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 6634/772,2017/9840, numerators are 6634,2017
Denominators are 772,9840
The GCF of 6634,2017 is 1 .
LCM of 772,9840 is 1899120.
The greatest common factor of 6634/772,2017/9840 = [GCF of 6634,2017]/[LCM of 772,9840]= 1/1899120
Therefore, the GCF of 6634/772,2017/9840 is 1/1899120.
To find the highest common factor of 6634,2017, we have to find the factors of both numbers and list the highest common factor.
The factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634
The factors of 2017 are 1, 2017
The HCF of 6634,2017 is 1.
Lets's calculate GCF of 6634,2017
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6634
:1,2,31,62,107,214,3317,6634
Now, list down the factors of 2017
:1,2017
Greatest Common Factor
We found the factors 6634,2017 . The biggest common factor number is the GCF number.
So the greatest common factor 6634,2017 is 1.
Lets's calculate LCM of 772,9840
2 | 772, 9840 |
2 | 386, 4920 |
193, 2460 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 2460 = 1899120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1899120
Therefore, the GCF of Fractions 6634/772,2017/9840 is 1/1899120
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 772,9840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,9840) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,9840) x common factors =4 x 1 = 4
LCM(772,9840) = ( 772 × 9840 ) / 4
LCM(772,9840) = 7596480 / 4
LCM(772,9840) = 1899120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6634,2017?
The HCF of 6634,2017 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 6634/772, 2017/9840?
Answer: GCF of Numerators as per given numbers 6634/772, 2017/9840 is
GCF of Numerators i.e. for 6634,2017 is 1
LCM of denominators i.e. for 772,9840 is 1899120.
Thus, GCF of Fractions is 1/1899120.Finally, GCF of Fractions for 6634/772, 2017/9840 is 1/1899120.