Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/35,492/83,693/116
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 23,492,693
Greatest Common Factor of Numerators i.e. GCF of 23,492,693 is 1 .
LCM of Denominators means LCM of 35,83,116 as per the given fractions.
LCM of 35,83,116 is 336980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,492,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 23,492,693 . The biggest common factor number is the GCF number.
So the greatest common factor 23,492,693 is 1.
Lets's calculate LCM of 35,83,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 336980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336980
Therefore, the GCF of Fractions 23/35,492/83,693/116 is 1/336980
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 35,83,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,83,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,83,116) x common factors =1 x 1 = 1
LCM(35,83,116) = ( 35 × 83 × 116 ) / 1
LCM(35,83,116) = 336980 / 1
LCM(35,83,116) = 336980
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 23/35, 492/83, 693/116?
Answer: GCF of Numerators as per given numbers 23/35, 492/83, 693/116 is
GCF of Numerators i.e. for 23,492,693 is 1
LCM of denominators i.e. for 35,83,116 is 336980.
Thus, GCF of Fractions is 1/336980.Finally, GCF of Fractions for 23/35, 492/83, 693/116 is 1/336980.