Use our free GCF of Fractions Calculator tool to compute the GCF of 682/214, 555/642 i.e 1/642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 682/214, 555/642.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 682/214,555/642
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 682/214,555/642, numerators are 682,555
Denominators are 214,642
The GCF of 682,555 is 1 .
LCM of 214,642 is 642.
The greatest common factor of 682/214,555/642 = [GCF of 682,555]/[LCM of 214,642]= 1/642
Therefore, the GCF of 682/214,555/642 is 1/642.
To find the highest common factor of 682,555, we have to find the factors of both numbers and list the highest common factor.
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The HCF of 682,555 is 1.
Lets's calculate GCF of 682,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 682,555 . The biggest common factor number is the GCF number.
So the greatest common factor 682,555 is 1.
Lets's calculate LCM of 214,642
2 | 214, 642 |
107 | 107, 321 |
1, 3 |
∴ So the LCM of the given numbers is 2 x 107 x 1 x 3 = 642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642
Therefore, the GCF of Fractions 682/214,555/642 is 1/642
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 214,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,642) = 214
common factors(in case of two or more numbers have common factors) = 1
GCF(214,642) x common factors =214 x 1 = 214
LCM(214,642) = ( 214 × 642 ) / 214
LCM(214,642) = 137388 / 214
LCM(214,642) = 642
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 682,555?
The HCF of 682,555 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 682/214, 555/642?
Answer: GCF of Numerators as per given numbers 682/214, 555/642 is
GCF of Numerators i.e. for 682,555 is 1
LCM of denominators i.e. for 214,642 is 642.
Thus, GCF of Fractions is 1/642.Finally, GCF of Fractions for 682/214, 555/642 is 1/642.