Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/93,667/5302
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 275,667
Greatest Common Factor of Numerators i.e. GCF of 275,667 is 1 .
LCM of Denominators means LCM of 93,5302 as per the given fractions.
LCM of 93,5302 is 493086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 275,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 275,667 . The biggest common factor number is the GCF number.
So the greatest common factor 275,667 is 1.
Lets's calculate LCM of 93,5302
Given numbers has no common factors except 1. So, there LCM is their product i.e 493086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493086
Therefore, the GCF of Fractions 275/93,667/5302 is 1/493086
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 93,5302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,5302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,5302) x common factors =1 x 1 = 1
LCM(93,5302) = ( 93 × 5302 ) / 1
LCM(93,5302) = 493086 / 1
LCM(93,5302) = 493086
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 275/93, 667/5302?
Answer: GCF of Numerators as per given numbers 275/93, 667/5302 is
GCF of Numerators i.e. for 275,667 is 1
LCM of denominators i.e. for 93,5302 is 493086.
Thus, GCF of Fractions is 1/493086.Finally, GCF of Fractions for 275/93, 667/5302 is 1/493086.