Use our free GCF of Fractions Calculator tool to compute the GCF of 177/697, 943/233 i.e 1/162401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 177/697, 943/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/697,943/233
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 177/697,943/233, numerators are 177,943
Denominators are 697,233
The GCF of 177,943 is 1 .
LCM of 697,233 is 162401.
The greatest common factor of 177/697,943/233 = [GCF of 177,943]/[LCM of 697,233]= 1/162401
Therefore, the GCF of 177/697,943/233 is 1/162401.
To find the highest common factor of 177,943, 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 943 are 1, 23, 41, 943
The HCF of 177,943 is 1.
Lets's calculate GCF of 177,943
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 177
:1,3,59,177
Now, list down the factors of 943
:1,23,41,943
Greatest Common Factor
We found the factors 177,943 . The biggest common factor number is the GCF number.
So the greatest common factor 177,943 is 1.
Lets's calculate LCM of 697,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 162401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162401
Therefore, the GCF of Fractions 177/697,943/233 is 1/162401
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 697,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,233) x common factors =1 x 1 = 1
LCM(697,233) = ( 697 × 233 ) / 1
LCM(697,233) = 162401 / 1
LCM(697,233) = 162401
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 177,943?
The HCF of 177,943 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 177/697, 943/233?
Answer: GCF of Numerators as per given numbers 177/697, 943/233 is
GCF of Numerators i.e. for 177,943 is 1
LCM of denominators i.e. for 697,233 is 162401.
Thus, GCF of Fractions is 1/162401.Finally, GCF of Fractions for 177/697, 943/233 is 1/162401.