Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/561,231/467
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 650,231
Greatest Common Factor of Numerators i.e. GCF of 650,231 is 1 .
LCM of Denominators means LCM of 561,467 as per the given fractions.
LCM of 561,467 is 261987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 650,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 650,231 . The biggest common factor number is the GCF number.
So the greatest common factor 650,231 is 1.
Lets's calculate LCM of 561,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 261987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261987
Therefore, the GCF of Fractions 650/561,231/467 is 1/261987
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 561,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,467) x common factors =1 x 1 = 1
LCM(561,467) = ( 561 × 467 ) / 1
LCM(561,467) = 261987 / 1
LCM(561,467) = 261987
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 650/561, 231/467?
Answer: GCF of Numerators as per given numbers 650/561, 231/467 is
GCF of Numerators i.e. for 650,231 is 1
LCM of denominators i.e. for 561,467 is 261987.
Thus, GCF of Fractions is 1/261987.Finally, GCF of Fractions for 650/561, 231/467 is 1/261987.