Use our free GCF of Fractions Calculator tool to compute the GCF of 10/191, 775/420, 473/257 i.e 1/20616540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/191, 775/420, 473/257.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/191,775/420,473/257
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 10/191,775/420,473/257, numerators are 10,775,473
Denominators are 191,420,257
The GCF of 10,775,473 is 1 .
LCM of 191,420,257 is 20616540.
The greatest common factor of 10/191,775/420,473/257 = [GCF of 10,775,473]/[LCM of 191,420,257]= 1/20616540
Therefore, the GCF of 10/191,775/420,473/257 is 1/20616540.
To find the highest common factor of 10,775,473, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 775 are 1, 5, 25, 31, 155, 775
The factors of 473 are 1, 11, 43, 473
The HCF of 10,775,473 is 1.
Lets's calculate GCF of 10,775,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 775
:1,5,25,31,155,775
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 10,775,473 . The biggest common factor number is the GCF number.
So the greatest common factor 10,775,473 is 1.
Lets's calculate LCM of 191,420,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 20616540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20616540
Therefore, the GCF of Fractions 10/191,775/420,473/257 is 1/20616540
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 191,420,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,420,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,420,257) x common factors =1 x 1 = 1
LCM(191,420,257) = ( 191 × 420 × 257 ) / 1
LCM(191,420,257) = 20616540 / 1
LCM(191,420,257) = 20616540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 10,775,473?
The HCF of 10,775,473 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 10/191, 775/420, 473/257?
Answer: GCF of Numerators as per given numbers 10/191, 775/420, 473/257 is
GCF of Numerators i.e. for 10,775,473 is 1
LCM of denominators i.e. for 191,420,257 is 20616540.
Thus, GCF of Fractions is 1/20616540.Finally, GCF of Fractions for 10/191, 775/420, 473/257 is 1/20616540.