Use our free GCF of Fractions Calculator tool to compute the GCF of 109/933, 531/211 i.e 1/196863 easily. The following is the detailed procedure to determine the greatest common factor of fractions 109/933, 531/211.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/933,531/211
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 109/933,531/211, numerators are 109,531
Denominators are 933,211
The GCF of 109,531 is 1 .
LCM of 933,211 is 196863.
The greatest common factor of 109/933,531/211 = [GCF of 109,531]/[LCM of 933,211]= 1/196863
Therefore, the GCF of 109/933,531/211 is 1/196863.
To find the highest common factor of 109,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 109 are 1, 109
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 109,531 is 1.
Lets's calculate GCF of 109,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 109
:1,109
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 109,531 . The biggest common factor number is the GCF number.
So the greatest common factor 109,531 is 1.
Lets's calculate LCM of 933,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 196863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196863
Therefore, the GCF of Fractions 109/933,531/211 is 1/196863
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 933,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,211) x common factors =1 x 1 = 1
LCM(933,211) = ( 933 × 211 ) / 1
LCM(933,211) = 196863 / 1
LCM(933,211) = 196863
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 109,531?
The HCF of 109,531 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 109/933, 531/211?
Answer: GCF of Numerators as per given numbers 109/933, 531/211 is
GCF of Numerators i.e. for 109,531 is 1
LCM of denominators i.e. for 933,211 is 196863.
Thus, GCF of Fractions is 1/196863.Finally, GCF of Fractions for 109/933, 531/211 is 1/196863.