Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 197/93,7056/787
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 197,7056
Greatest Common Factor of Numerators i.e. GCF of 197,7056 is 1 .
LCM of Denominators means LCM of 93,787 as per the given fractions.
LCM of 93,787 is 73191 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 197,7056
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 7056
List of positive integer factors of 7056 that divides 7056 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,49,56,63,72,84,98,112,126,144,147,168,196,252,294,336,392,441,504,588,784,882,1008,1176,1764,2352,3528,7056
Greatest Common Factor
We found the factors 197,7056 . The biggest common factor number is the GCF number.
So the greatest common factor 197,7056 is 1.
Lets's calculate LCM of 93,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 73191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73191
Therefore, the GCF of Fractions 197/93,7056/787 is 1/73191
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 93,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,787) x common factors =1 x 1 = 1
LCM(93,787) = ( 93 × 787 ) / 1
LCM(93,787) = 73191 / 1
LCM(93,787) = 73191
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 197/93, 7056/787?
Answer: GCF of Numerators as per given numbers 197/93, 7056/787 is
GCF of Numerators i.e. for 197,7056 is 1
LCM of denominators i.e. for 93,787 is 73191.
Thus, GCF of Fractions is 1/73191.Finally, GCF of Fractions for 197/93, 7056/787 is 1/73191.