Use our free GCF of Fractions Calculator tool to compute the GCF of 177/638, 171/701 i.e 3/447238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/638, 171/701.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/638,171/701
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 177/638,171/701, numerators are 177,171
Denominators are 638,701
The GCF of 177,171 is 3 .
LCM of 638,701 is 447238.
The greatest common factor of 177/638,171/701 = [GCF of 177,171]/[LCM of 638,701]= 3/447238
Therefore, the GCF of 177/638,171/701 is 3/447238.
To find the highest common factor of 177,171, we have to find the factors of both numbers and list the highest common factor.
The factors of 177 are 1, 3, 59, 177
The factors of 171 are 1, 3, 9, 19, 57, 171
The HCF of 177,171 is 3.
Lets's calculate GCF of 177,171
3 | 177, 171 |
59, 57 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 177
:1,3,59,177
Now, list down the factors of 171
:1,3,9,19,57,171
Greatest Common Factor
We found the factors 177,171 . The biggest common factor number is the GCF number.
So the greatest common factor 177,171 is 3.
Lets's calculate LCM of 638,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 447238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/447238
Therefore, the GCF of Fractions 177/638,171/701 is 3/447238
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 638,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,701) x common factors =1 x 1 = 1
LCM(638,701) = ( 638 × 701 ) / 1
LCM(638,701) = 447238 / 1
LCM(638,701) = 447238
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 177,171?
The HCF of 177,171 is 3
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 177/638, 171/701?
Answer: GCF of Numerators as per given numbers 177/638, 171/701 is
GCF of Numerators i.e. for 177,171 is 3
LCM of denominators i.e. for 638,701 is 447238.
Thus, GCF of Fractions is 3/447238.Finally, GCF of Fractions for 177/638, 171/701 is 3/447238.