Use our free GCF of Fractions Calculator tool to compute the GCF of 373/248, 875/674 i.e 1/83576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/248, 875/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/248,875/674
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 373/248,875/674, numerators are 373,875
Denominators are 248,674
The GCF of 373,875 is 1 .
LCM of 248,674 is 83576.
The greatest common factor of 373/248,875/674 = [GCF of 373,875]/[LCM of 248,674]= 1/83576
Therefore, the GCF of 373/248,875/674 is 1/83576.
To find the highest common factor of 373,875, we have to find the factors of both numbers and list the highest common factor.
The factors of 373 are 1, 373
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The HCF of 373,875 is 1.
Lets's calculate GCF of 373,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 373
:1,373
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 373,875 . The biggest common factor number is the GCF number.
So the greatest common factor 373,875 is 1.
Lets's calculate LCM of 248,674
2 | 248, 674 |
124, 337 |
∴ So the LCM of the given numbers is 2 x 124 x 337 = 83576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83576
Therefore, the GCF of Fractions 373/248,875/674 is 1/83576
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 248,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(248,674) x common factors =2 x 1 = 2
LCM(248,674) = ( 248 × 674 ) / 2
LCM(248,674) = 167152 / 2
LCM(248,674) = 83576
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 373,875?
The HCF of 373,875 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 373/248, 875/674?
Answer: GCF of Numerators as per given numbers 373/248, 875/674 is
GCF of Numerators i.e. for 373,875 is 1
LCM of denominators i.e. for 248,674 is 83576.
Thus, GCF of Fractions is 1/83576.Finally, GCF of Fractions for 373/248, 875/674 is 1/83576.