Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 402/51,856/43,266/797
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 402,856,266
Greatest Common Factor of Numerators i.e. GCF of 402,856,266 is 2 .
LCM of Denominators means LCM of 51,43,797 as per the given fractions.
LCM of 51,43,797 is 1747821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 402,856,266
2 | 402, 856, 266 |
201, 428, 133 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 402,856,266 . The biggest common factor number is the GCF number.
So the greatest common factor 402,856,266 is 2.
Lets's calculate LCM of 51,43,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 1747821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1747821
Therefore, the GCF of Fractions 402/51,856/43,266/797 is 2/1747821
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 51,43,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,43,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,43,797) x common factors =1 x 1 = 1
LCM(51,43,797) = ( 51 × 43 × 797 ) / 1
LCM(51,43,797) = 1747821 / 1
LCM(51,43,797) = 1747821
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 402/51, 856/43, 266/797?
Answer: GCF of Numerators as per given numbers 402/51, 856/43, 266/797 is
GCF of Numerators i.e. for 402,856,266 is 2
LCM of denominators i.e. for 51,43,797 is 1747821.
Thus, GCF of Fractions is 2/1747821.Finally, GCF of Fractions for 402/51, 856/43, 266/797 is 2/1747821.