Use our free GCF of Fractions Calculator tool to compute the GCF of 56/575, 301/479, 771/107 i.e 1/29470475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/575, 301/479, 771/107.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/575,301/479,771/107
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 56/575,301/479,771/107, numerators are 56,301,771
Denominators are 575,479,107
The GCF of 56,301,771 is 1 .
LCM of 575,479,107 is 29470475.
The greatest common factor of 56/575,301/479,771/107 = [GCF of 56,301,771]/[LCM of 575,479,107]= 1/29470475
Therefore, the GCF of 56/575,301/479,771/107 is 1/29470475.
To find the highest common factor of 56,301,771, we have to find the factors of both numbers and list the highest common factor.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 301 are 1, 7, 43, 301
The factors of 771 are 1, 3, 257, 771
The HCF of 56,301,771 is 1.
Lets's calculate GCF of 56,301,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 56,301,771 . The biggest common factor number is the GCF number.
So the greatest common factor 56,301,771 is 1.
Lets's calculate LCM of 575,479,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 29470475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29470475
Therefore, the GCF of Fractions 56/575,301/479,771/107 is 1/29470475
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 575,479,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,479,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,479,107) x common factors =1 x 1 = 1
LCM(575,479,107) = ( 575 × 479 × 107 ) / 1
LCM(575,479,107) = 29470475 / 1
LCM(575,479,107) = 29470475
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 56,301,771?
The HCF of 56,301,771 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 56/575, 301/479, 771/107?
Answer: GCF of Numerators as per given numbers 56/575, 301/479, 771/107 is
GCF of Numerators i.e. for 56,301,771 is 1
LCM of denominators i.e. for 575,479,107 is 29470475.
Thus, GCF of Fractions is 1/29470475.Finally, GCF of Fractions for 56/575, 301/479, 771/107 is 1/29470475.