Use our free GCF of Fractions Calculator tool to compute the GCF of 635/678, 543/114 i.e 1/12882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/678, 543/114.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/678,543/114
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 635/678,543/114, numerators are 635,543
Denominators are 678,114
The GCF of 635,543 is 1 .
LCM of 678,114 is 12882.
The greatest common factor of 635/678,543/114 = [GCF of 635,543]/[LCM of 678,114]= 1/12882
Therefore, the GCF of 635/678,543/114 is 1/12882.
To find the highest common factor of 635,543, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 543 are 1, 3, 181, 543
The HCF of 635,543 is 1.
Lets's calculate GCF of 635,543
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 543
:1,3,181,543
Greatest Common Factor
We found the factors 635,543 . The biggest common factor number is the GCF number.
So the greatest common factor 635,543 is 1.
Lets's calculate LCM of 678,114
2 | 678, 114 |
3 | 339, 57 |
113, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 19 = 12882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12882
Therefore, the GCF of Fractions 635/678,543/114 is 1/12882
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 678,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,114) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(678,114) x common factors =6 x 1 = 6
LCM(678,114) = ( 678 × 114 ) / 6
LCM(678,114) = 77292 / 6
LCM(678,114) = 12882
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 635,543?
The HCF of 635,543 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 635/678, 543/114?
Answer: GCF of Numerators as per given numbers 635/678, 543/114 is
GCF of Numerators i.e. for 635,543 is 1
LCM of denominators i.e. for 678,114 is 12882.
Thus, GCF of Fractions is 1/12882.Finally, GCF of Fractions for 635/678, 543/114 is 1/12882.