Use our free GCF of Fractions Calculator tool to compute the GCF of 674/835, 178/468 i.e 2/390780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/835, 178/468.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 674/835,178/468
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 674/835,178/468, numerators are 674,178
Denominators are 835,468
The GCF of 674,178 is 2 .
LCM of 835,468 is 390780.
The greatest common factor of 674/835,178/468 = [GCF of 674,178]/[LCM of 835,468]= 2/390780
Therefore, the GCF of 674/835,178/468 is 2/390780.
To find the highest common factor of 674,178, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 178 are 1, 2, 89, 178
The HCF of 674,178 is 2.
Lets's calculate GCF of 674,178
2 | 674, 178 |
337, 89 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 178
:1,2,89,178
Greatest Common Factor
We found the factors 674,178 . The biggest common factor number is the GCF number.
So the greatest common factor 674,178 is 2.
Lets's calculate LCM of 835,468
Given numbers has no common factors except 1. So, there LCM is their product i.e 390780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/390780
Therefore, the GCF of Fractions 674/835,178/468 is 2/390780
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 835,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,468) x common factors =1 x 1 = 1
LCM(835,468) = ( 835 × 468 ) / 1
LCM(835,468) = 390780 / 1
LCM(835,468) = 390780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 674,178?
The HCF of 674,178 is 2
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 674/835, 178/468?
Answer: GCF of Numerators as per given numbers 674/835, 178/468 is
GCF of Numerators i.e. for 674,178 is 2
LCM of denominators i.e. for 835,468 is 390780.
Thus, GCF of Fractions is 2/390780.Finally, GCF of Fractions for 674/835, 178/468 is 2/390780.