Use our free GCF of Fractions Calculator tool to compute the GCF of 382/302, 174/841 i.e 2/253982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/302, 174/841.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/302,174/841
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 382/302,174/841, numerators are 382,174
Denominators are 302,841
The GCF of 382,174 is 2 .
LCM of 302,841 is 253982.
The greatest common factor of 382/302,174/841 = [GCF of 382,174]/[LCM of 302,841]= 2/253982
Therefore, the GCF of 382/302,174/841 is 2/253982.
To find the highest common factor of 382,174, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The HCF of 382,174 is 2.
Lets's calculate GCF of 382,174
2 | 382, 174 |
191, 87 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 382,174 . The biggest common factor number is the GCF number.
So the greatest common factor 382,174 is 2.
Lets's calculate LCM of 302,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 253982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/253982
Therefore, the GCF of Fractions 382/302,174/841 is 2/253982
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 302,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,841) x common factors =1 x 1 = 1
LCM(302,841) = ( 302 × 841 ) / 1
LCM(302,841) = 253982 / 1
LCM(302,841) = 253982
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 382,174?
The HCF of 382,174 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 382/302, 174/841?
Answer: GCF of Numerators as per given numbers 382/302, 174/841 is
GCF of Numerators i.e. for 382,174 is 2
LCM of denominators i.e. for 302,841 is 253982.
Thus, GCF of Fractions is 2/253982.Finally, GCF of Fractions for 382/302, 174/841 is 2/253982.