Use our free GCF of Fractions Calculator tool to compute the GCF of 570/936, 461/935 i.e 1/875160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/936, 461/935.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 570/936,461/935
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 570/936,461/935, numerators are 570,461
Denominators are 936,935
The GCF of 570,461 is 1 .
LCM of 936,935 is 875160.
The greatest common factor of 570/936,461/935 = [GCF of 570,461]/[LCM of 936,935]= 1/875160
Therefore, the GCF of 570/936,461/935 is 1/875160.
To find the highest common factor of 570,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
The factors of 461 are 1, 461
The HCF of 570,461 is 1.
Lets's calculate GCF of 570,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 570
:1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 570,461 . The biggest common factor number is the GCF number.
So the greatest common factor 570,461 is 1.
Lets's calculate LCM of 936,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 875160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/875160
Therefore, the GCF of Fractions 570/936,461/935 is 1/875160
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 936,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(936,935) x common factors =1 x 1 = 1
LCM(936,935) = ( 936 × 935 ) / 1
LCM(936,935) = 875160 / 1
LCM(936,935) = 875160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 570,461?
The HCF of 570,461 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 570/936, 461/935?
Answer: GCF of Numerators as per given numbers 570/936, 461/935 is
GCF of Numerators i.e. for 570,461 is 1
LCM of denominators i.e. for 936,935 is 875160.
Thus, GCF of Fractions is 1/875160.Finally, GCF of Fractions for 570/936, 461/935 is 1/875160.