Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2053/98,9340/913
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 2053,9340
Greatest Common Factor of Numerators i.e. GCF of 2053,9340 is 1 .
LCM of Denominators means LCM of 98,913 as per the given fractions.
LCM of 98,913 is 89474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2053,9340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2053
List of positive integer factors of 2053 that divides 2053 without a remainder.
1,2053
Factors of 9340
List of positive integer factors of 9340 that divides 9340 without a remainder.
1,2,4,5,10,20,467,934,1868,2335,4670,9340
Greatest Common Factor
We found the factors 2053,9340 . The biggest common factor number is the GCF number.
So the greatest common factor 2053,9340 is 1.
Lets's calculate LCM of 98,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 89474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89474
Therefore, the GCF of Fractions 2053/98,9340/913 is 1/89474
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 98,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,913) x common factors =1 x 1 = 1
LCM(98,913) = ( 98 × 913 ) / 1
LCM(98,913) = 89474 / 1
LCM(98,913) = 89474
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 2053/98, 9340/913?
Answer: GCF of Numerators as per given numbers 2053/98, 9340/913 is
GCF of Numerators i.e. for 2053,9340 is 1
LCM of denominators i.e. for 98,913 is 89474.
Thus, GCF of Fractions is 1/89474.Finally, GCF of Fractions for 2053/98, 9340/913 is 1/89474.