Use our free GCF of Fractions Calculator tool to compute the GCF of 211/354, 984/605 i.e 1/214170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/354, 984/605.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/354,984/605
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 211/354,984/605, numerators are 211,984
Denominators are 354,605
The GCF of 211,984 is 1 .
LCM of 354,605 is 214170.
The greatest common factor of 211/354,984/605 = [GCF of 211,984]/[LCM of 354,605]= 1/214170
Therefore, the GCF of 211/354,984/605 is 1/214170.
To find the highest common factor of 211,984, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The HCF of 211,984 is 1.
Lets's calculate GCF of 211,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 211
:1,211
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 211,984 . The biggest common factor number is the GCF number.
So the greatest common factor 211,984 is 1.
Lets's calculate LCM of 354,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 214170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214170
Therefore, the GCF of Fractions 211/354,984/605 is 1/214170
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 354,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,605) x common factors =1 x 1 = 1
LCM(354,605) = ( 354 × 605 ) / 1
LCM(354,605) = 214170 / 1
LCM(354,605) = 214170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 211,984?
The HCF of 211,984 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 211/354, 984/605?
Answer: GCF of Numerators as per given numbers 211/354, 984/605 is
GCF of Numerators i.e. for 211,984 is 1
LCM of denominators i.e. for 354,605 is 214170.
Thus, GCF of Fractions is 1/214170.Finally, GCF of Fractions for 211/354, 984/605 is 1/214170.