Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/98,620/5841
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 267,620
Greatest Common Factor of Numerators i.e. GCF of 267,620 is 1 .
LCM of Denominators means LCM of 98,5841 as per the given fractions.
LCM of 98,5841 is 572418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 267,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 267,620 . The biggest common factor number is the GCF number.
So the greatest common factor 267,620 is 1.
Lets's calculate LCM of 98,5841
Given numbers has no common factors except 1. So, there LCM is their product i.e 572418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/572418
Therefore, the GCF of Fractions 267/98,620/5841 is 1/572418
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 98,5841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,5841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,5841) x common factors =1 x 1 = 1
LCM(98,5841) = ( 98 × 5841 ) / 1
LCM(98,5841) = 572418 / 1
LCM(98,5841) = 572418
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 267/98, 620/5841?
Answer: GCF of Numerators as per given numbers 267/98, 620/5841 is
GCF of Numerators i.e. for 267,620 is 1
LCM of denominators i.e. for 98,5841 is 572418.
Thus, GCF of Fractions is 1/572418.Finally, GCF of Fractions for 267/98, 620/5841 is 1/572418.