Use our free GCF of Fractions Calculator tool to compute the GCF of 687/645, 458/377 i.e 229/243165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/645, 458/377.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/645,458/377
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 687/645,458/377, numerators are 687,458
Denominators are 645,377
The GCF of 687,458 is 229 .
LCM of 645,377 is 243165.
The greatest common factor of 687/645,458/377 = [GCF of 687,458]/[LCM of 645,377]= 229/243165
Therefore, the GCF of 687/645,458/377 is 229/243165.
To find the highest common factor of 687,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 687 are 1, 3, 229, 687
The factors of 458 are 1, 2, 229, 458
The HCF of 687,458 is 229.
Lets's calculate GCF of 687,458
229 | 687, 458 |
3, 2 |
∴ So the GCF of the given numbers is 229 = 229
Now, list down the factors of 687
:1,3,229,687
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 687,458 . The biggest common factor number is the GCF number.
So the greatest common factor 687,458 is 229.
Lets's calculate LCM of 645,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 243165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 229/243165
Therefore, the GCF of Fractions 687/645,458/377 is 229/243165
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 645,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,377) x common factors =1 x 1 = 1
LCM(645,377) = ( 645 × 377 ) / 1
LCM(645,377) = 243165 / 1
LCM(645,377) = 243165
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 687,458?
The HCF of 687,458 is 229
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 687/645, 458/377?
Answer: GCF of Numerators as per given numbers 687/645, 458/377 is
GCF of Numerators i.e. for 687,458 is 229
LCM of denominators i.e. for 645,377 is 243165.
Thus, GCF of Fractions is 229/243165.Finally, GCF of Fractions for 687/645, 458/377 is 229/243165.