Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 206/782,693/529,356/296
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 206,693,356
Greatest Common Factor of Numerators i.e. GCF of 206,693,356 is 1 .
LCM of Denominators means LCM of 782,529,296 as per the given fractions.
LCM of 782,529,296 is 2661928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 206,693,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
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
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 206,693,356 . The biggest common factor number is the GCF number.
So the greatest common factor 206,693,356 is 1.
Lets's calculate LCM of 782,529,296
2 | 782, 529, 296 |
23 | 391, 529, 148 |
17, 23, 148 |
∴ So the LCM of the given numbers is 2 x 23 x 17 x 23 x 148 = 2661928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2661928
Therefore, the GCF of Fractions 206/782,693/529,356/296 is 1/2661928
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 782,529,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,529,296) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(782,529,296) x common factors =1 x 46 = 46
LCM(782,529,296) = ( 782 × 529 × 296 ) / 46
LCM(782,529,296) = 122448688 / 46
LCM(782,529,296) = 2661928
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 206/782, 693/529, 356/296?
Answer: GCF of Numerators as per given numbers 206/782, 693/529, 356/296 is
GCF of Numerators i.e. for 206,693,356 is 1
LCM of denominators i.e. for 782,529,296 is 2661928.
Thus, GCF of Fractions is 1/2661928.Finally, GCF of Fractions for 206/782, 693/529, 356/296 is 1/2661928.