Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/31,46/92,686/556
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 10,46,686
Greatest Common Factor of Numerators i.e. GCF of 10,46,686 is 2 .
LCM of Denominators means LCM of 31,92,556 as per the given fractions.
LCM of 31,92,556 is 396428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,46,686
2 | 10, 46, 686 |
5, 23, 343 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 10,46,686 . The biggest common factor number is the GCF number.
So the greatest common factor 10,46,686 is 2.
Lets's calculate LCM of 31,92,556
2 | 31, 92, 556 |
2 | 31, 46, 278 |
31, 23, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 23 x 139 = 396428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/396428
Therefore, the GCF of Fractions 10/31,46/92,686/556 is 2/396428
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 31,92,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,92,556) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(31,92,556) x common factors =1 x 4 = 4
LCM(31,92,556) = ( 31 × 92 × 556 ) / 4
LCM(31,92,556) = 1585712 / 4
LCM(31,92,556) = 396428
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 10/31, 46/92, 686/556?
Answer: GCF of Numerators as per given numbers 10/31, 46/92, 686/556 is
GCF of Numerators i.e. for 10,46,686 is 2
LCM of denominators i.e. for 31,92,556 is 396428.
Thus, GCF of Fractions is 2/396428.Finally, GCF of Fractions for 10/31, 46/92, 686/556 is 2/396428.