Use our free GCF of Fractions Calculator tool to compute the GCF of 672/378, 398/331 i.e 2/125118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/378, 398/331.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/378,398/331
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 672/378,398/331, numerators are 672,398
Denominators are 378,331
The GCF of 672,398 is 2 .
LCM of 378,331 is 125118.
The greatest common factor of 672/378,398/331 = [GCF of 672,398]/[LCM of 378,331]= 2/125118
Therefore, the GCF of 672/378,398/331 is 2/125118.
To find the highest common factor of 672,398, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 398 are 1, 2, 199, 398
The HCF of 672,398 is 2.
Lets's calculate GCF of 672,398
2 | 672, 398 |
336, 199 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 398
:1,2,199,398
Greatest Common Factor
We found the factors 672,398 . The biggest common factor number is the GCF number.
So the greatest common factor 672,398 is 2.
Lets's calculate LCM of 378,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 125118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125118
Therefore, the GCF of Fractions 672/378,398/331 is 2/125118
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 378,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,331) x common factors =1 x 1 = 1
LCM(378,331) = ( 378 × 331 ) / 1
LCM(378,331) = 125118 / 1
LCM(378,331) = 125118
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 672,398?
The HCF of 672,398 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 672/378, 398/331?
Answer: GCF of Numerators as per given numbers 672/378, 398/331 is
GCF of Numerators i.e. for 672,398 is 2
LCM of denominators i.e. for 378,331 is 125118.
Thus, GCF of Fractions is 2/125118.Finally, GCF of Fractions for 672/378, 398/331 is 2/125118.