Use our free GCF of Fractions Calculator tool to compute the GCF of 894/712, 164/665 i.e 2/473480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/712, 164/665.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/712,164/665
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 894/712,164/665, numerators are 894,164
Denominators are 712,665
The GCF of 894,164 is 2 .
LCM of 712,665 is 473480.
The greatest common factor of 894/712,164/665 = [GCF of 894,164]/[LCM of 712,665]= 2/473480
Therefore, the GCF of 894/712,164/665 is 2/473480.
To find the highest common factor of 894,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 894,164 is 2.
Lets's calculate GCF of 894,164
2 | 894, 164 |
447, 82 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 894,164 . The biggest common factor number is the GCF number.
So the greatest common factor 894,164 is 2.
Lets's calculate LCM of 712,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 473480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473480
Therefore, the GCF of Fractions 894/712,164/665 is 2/473480
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 712,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(712,665) x common factors =1 x 1 = 1
LCM(712,665) = ( 712 × 665 ) / 1
LCM(712,665) = 473480 / 1
LCM(712,665) = 473480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 894,164?
The HCF of 894,164 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 894/712, 164/665?
Answer: GCF of Numerators as per given numbers 894/712, 164/665 is
GCF of Numerators i.e. for 894,164 is 2
LCM of denominators i.e. for 712,665 is 473480.
Thus, GCF of Fractions is 2/473480.Finally, GCF of Fractions for 894/712, 164/665 is 2/473480.