Use our free GCF of Fractions Calculator tool to compute the GCF of 475/930, 170/456 i.e 5/70680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/930, 170/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 475/930,170/456
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 475/930,170/456, numerators are 475,170
Denominators are 930,456
The GCF of 475,170 is 5 .
LCM of 930,456 is 70680.
The greatest common factor of 475/930,170/456 = [GCF of 475,170]/[LCM of 930,456]= 5/70680
Therefore, the GCF of 475/930,170/456 is 5/70680.
To find the highest common factor of 475,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 475 are 1, 5, 19, 25, 95, 475
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 475,170 is 5.
Lets's calculate GCF of 475,170
5 | 475, 170 |
95, 34 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 475
:1,5,19,25,95,475
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 475,170 . The biggest common factor number is the GCF number.
So the greatest common factor 475,170 is 5.
Lets's calculate LCM of 930,456
2 | 930, 456 |
3 | 465, 228 |
155, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 76 = 70680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/70680
Therefore, the GCF of Fractions 475/930,170/456 is 5/70680
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 930,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,456) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,456) x common factors =6 x 1 = 6
LCM(930,456) = ( 930 × 456 ) / 6
LCM(930,456) = 424080 / 6
LCM(930,456) = 70680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 475,170?
The HCF of 475,170 is 5
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 475/930, 170/456?
Answer: GCF of Numerators as per given numbers 475/930, 170/456 is
GCF of Numerators i.e. for 475,170 is 5
LCM of denominators i.e. for 930,456 is 70680.
Thus, GCF of Fractions is 5/70680.Finally, GCF of Fractions for 475/930, 170/456 is 5/70680.