Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/406,84/342,402/696
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 50,84,402
Greatest Common Factor of Numerators i.e. GCF of 50,84,402 is 2 .
LCM of Denominators means LCM of 406,342,696 as per the given fractions.
LCM of 406,342,696 is 277704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,84,402
2 | 50, 84, 402 |
25, 42, 201 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 50,84,402 . The biggest common factor number is the GCF number.
So the greatest common factor 50,84,402 is 2.
Lets's calculate LCM of 406,342,696
2 | 406, 342, 696 |
3 | 203, 171, 348 |
29 | 203, 57, 116 |
7, 57, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 57 x 4 = 277704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/277704
Therefore, the GCF of Fractions 50/406,84/342,402/696 is 2/277704
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 406,342,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,342,696) = 2
common factors(in case of two or more numbers have common factors) = 174
GCF(406,342,696) x common factors =2 x 174 = 348
LCM(406,342,696) = ( 406 × 342 × 696 ) / 348
LCM(406,342,696) = 96640992 / 348
LCM(406,342,696) = 277704
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 50/406, 84/342, 402/696?
Answer: GCF of Numerators as per given numbers 50/406, 84/342, 402/696 is
GCF of Numerators i.e. for 50,84,402 is 2
LCM of denominators i.e. for 406,342,696 is 277704.
Thus, GCF of Fractions is 2/277704.Finally, GCF of Fractions for 50/406, 84/342, 402/696 is 2/277704.