Use our free GCF of Fractions Calculator tool to compute the GCF of 23/177, 314/172, 202/823 i.e 1/25055412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/177, 314/172, 202/823.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/177,314/172,202/823
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 23/177,314/172,202/823, numerators are 23,314,202
Denominators are 177,172,823
The GCF of 23,314,202 is 1 .
LCM of 177,172,823 is 25055412.
The greatest common factor of 23/177,314/172,202/823 = [GCF of 23,314,202]/[LCM of 177,172,823]= 1/25055412
Therefore, the GCF of 23/177,314/172,202/823 is 1/25055412.
To find the highest common factor of 23,314,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 314 are 1, 2, 157, 314
The factors of 202 are 1, 2, 101, 202
The HCF of 23,314,202 is 1.
Lets's calculate GCF of 23,314,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 314
:1,2,157,314
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 23,314,202 . The biggest common factor number is the GCF number.
So the greatest common factor 23,314,202 is 1.
Lets's calculate LCM of 177,172,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 25055412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25055412
Therefore, the GCF of Fractions 23/177,314/172,202/823 is 1/25055412
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 177,172,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,172,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,172,823) x common factors =1 x 1 = 1
LCM(177,172,823) = ( 177 × 172 × 823 ) / 1
LCM(177,172,823) = 25055412 / 1
LCM(177,172,823) = 25055412
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,314,202?
The HCF of 23,314,202 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 23/177, 314/172, 202/823?
Answer: GCF of Numerators as per given numbers 23/177, 314/172, 202/823 is
GCF of Numerators i.e. for 23,314,202 is 1
LCM of denominators i.e. for 177,172,823 is 25055412.
Thus, GCF of Fractions is 1/25055412.Finally, GCF of Fractions for 23/177, 314/172, 202/823 is 1/25055412.