Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1633/517,9667/538
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 1633,9667
Greatest Common Factor of Numerators i.e. GCF of 1633,9667 is 1 .
LCM of Denominators means LCM of 517,538 as per the given fractions.
LCM of 517,538 is 278146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1633,9667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1633
List of positive integer factors of 1633 that divides 1633 without a remainder.
1,23,71,1633
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1,7,1381,9667
Greatest Common Factor
We found the factors 1633,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 1633,9667 is 1.
Lets's calculate LCM of 517,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 278146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278146
Therefore, the GCF of Fractions 1633/517,9667/538 is 1/278146
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 517,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,538) x common factors =1 x 1 = 1
LCM(517,538) = ( 517 × 538 ) / 1
LCM(517,538) = 278146 / 1
LCM(517,538) = 278146
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 1633/517, 9667/538?
Answer: GCF of Numerators as per given numbers 1633/517, 9667/538 is
GCF of Numerators i.e. for 1633,9667 is 1
LCM of denominators i.e. for 517,538 is 278146.
Thus, GCF of Fractions is 1/278146.Finally, GCF of Fractions for 1633/517, 9667/538 is 1/278146.