Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/97,349/38,650/899
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 93,349,650
Greatest Common Factor of Numerators i.e. GCF of 93,349,650 is 1 .
LCM of Denominators means LCM of 97,38,899 as per the given fractions.
LCM of 97,38,899 is 3313714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,349,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
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
Greatest Common Factor
We found the factors 93,349,650 . The biggest common factor number is the GCF number.
So the greatest common factor 93,349,650 is 1.
Lets's calculate LCM of 97,38,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 3313714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3313714
Therefore, the GCF of Fractions 93/97,349/38,650/899 is 1/3313714
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 97,38,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,38,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,38,899) x common factors =1 x 1 = 1
LCM(97,38,899) = ( 97 × 38 × 899 ) / 1
LCM(97,38,899) = 3313714 / 1
LCM(97,38,899) = 3313714
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 93/97, 349/38, 650/899?
Answer: GCF of Numerators as per given numbers 93/97, 349/38, 650/899 is
GCF of Numerators i.e. for 93,349,650 is 1
LCM of denominators i.e. for 97,38,899 is 3313714.
Thus, GCF of Fractions is 1/3313714.Finally, GCF of Fractions for 93/97, 349/38, 650/899 is 1/3313714.