Use our free GCF of Fractions Calculator tool to compute the GCF of 170/295, 974/722 i.e 2/212990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 170/295, 974/722.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 170/295,974/722
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 170/295,974/722, numerators are 170,974
Denominators are 295,722
The GCF of 170,974 is 2 .
LCM of 295,722 is 212990.
The greatest common factor of 170/295,974/722 = [GCF of 170,974]/[LCM of 295,722]= 2/212990
Therefore, the GCF of 170/295,974/722 is 2/212990.
To find the highest common factor of 170,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The factors of 974 are 1, 2, 487, 974
The HCF of 170,974 is 2.
Lets's calculate GCF of 170,974
2 | 170, 974 |
85, 487 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 170,974 . The biggest common factor number is the GCF number.
So the greatest common factor 170,974 is 2.
Lets's calculate LCM of 295,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 212990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212990
Therefore, the GCF of Fractions 170/295,974/722 is 2/212990
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 295,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,722) x common factors =1 x 1 = 1
LCM(295,722) = ( 295 × 722 ) / 1
LCM(295,722) = 212990 / 1
LCM(295,722) = 212990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 170,974?
The HCF of 170,974 is 2
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 170/295, 974/722?
Answer: GCF of Numerators as per given numbers 170/295, 974/722 is
GCF of Numerators i.e. for 170,974 is 2
LCM of denominators i.e. for 295,722 is 212990.
Thus, GCF of Fractions is 2/212990.Finally, GCF of Fractions for 170/295, 974/722 is 2/212990.