Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 569/191,211/524
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 569,211
Greatest Common Factor of Numerators i.e. GCF of 569,211 is 1 .
LCM of Denominators means LCM of 191,524 as per the given fractions.
LCM of 191,524 is 100084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 569,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 569,211 . The biggest common factor number is the GCF number.
So the greatest common factor 569,211 is 1.
Lets's calculate LCM of 191,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 100084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100084
Therefore, the GCF of Fractions 569/191,211/524 is 1/100084
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 191,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,524) x common factors =1 x 1 = 1
LCM(191,524) = ( 191 × 524 ) / 1
LCM(191,524) = 100084 / 1
LCM(191,524) = 100084
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 569/191, 211/524?
Answer: GCF of Numerators as per given numbers 569/191, 211/524 is
GCF of Numerators i.e. for 569,211 is 1
LCM of denominators i.e. for 191,524 is 100084.
Thus, GCF of Fractions is 1/100084.Finally, GCF of Fractions for 569/191, 211/524 is 1/100084.