Use our free GCF of Fractions Calculator tool to compute the GCF of 211/878, 430/491 i.e 1/431098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/878, 430/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/878,430/491
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 211/878,430/491, numerators are 211,430
Denominators are 878,491
The GCF of 211,430 is 1 .
LCM of 878,491 is 431098.
The greatest common factor of 211/878,430/491 = [GCF of 211,430]/[LCM of 878,491]= 1/431098
Therefore, the GCF of 211/878,430/491 is 1/431098.
To find the highest common factor of 211,430, 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 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 211,430 is 1.
Lets's calculate GCF of 211,430
∴ 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 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 211,430 . The biggest common factor number is the GCF number.
So the greatest common factor 211,430 is 1.
Lets's calculate LCM of 878,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 431098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431098
Therefore, the GCF of Fractions 211/878,430/491 is 1/431098
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 878,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(878,491) x common factors =1 x 1 = 1
LCM(878,491) = ( 878 × 491 ) / 1
LCM(878,491) = 431098 / 1
LCM(878,491) = 431098
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 211,430?
The HCF of 211,430 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 211/878, 430/491?
Answer: GCF of Numerators as per given numbers 211/878, 430/491 is
GCF of Numerators i.e. for 211,430 is 1
LCM of denominators i.e. for 878,491 is 431098.
Thus, GCF of Fractions is 1/431098.Finally, GCF of Fractions for 211/878, 430/491 is 1/431098.