Use our free GCF of Fractions Calculator tool to compute the GCF of 473/191, 538/172 i.e 1/32852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 473/191, 538/172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 473/191,538/172
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 473/191,538/172, numerators are 473,538
Denominators are 191,172
The GCF of 473,538 is 1 .
LCM of 191,172 is 32852.
The greatest common factor of 473/191,538/172 = [GCF of 473,538]/[LCM of 191,172]= 1/32852
Therefore, the GCF of 473/191,538/172 is 1/32852.
To find the highest common factor of 473,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 473 are 1, 11, 43, 473
The factors of 538 are 1, 2, 269, 538
The HCF of 473,538 is 1.
Lets's calculate GCF of 473,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 473
:1,11,43,473
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 473,538 . The biggest common factor number is the GCF number.
So the greatest common factor 473,538 is 1.
Lets's calculate LCM of 191,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 32852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32852
Therefore, the GCF of Fractions 473/191,538/172 is 1/32852
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 191,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,172) x common factors =1 x 1 = 1
LCM(191,172) = ( 191 × 172 ) / 1
LCM(191,172) = 32852 / 1
LCM(191,172) = 32852
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 473,538?
The HCF of 473,538 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 473/191, 538/172?
Answer: GCF of Numerators as per given numbers 473/191, 538/172 is
GCF of Numerators i.e. for 473,538 is 1
LCM of denominators i.e. for 191,172 is 32852.
Thus, GCF of Fractions is 1/32852.Finally, GCF of Fractions for 473/191, 538/172 is 1/32852.