Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/462,931/325,868/666
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 626,931,868
Greatest Common Factor of Numerators i.e. GCF of 626,931,868 is 1 .
LCM of Denominators means LCM of 462,325,666 as per the given fractions.
LCM of 462,325,666 is 16666650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 626,931,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 626,931,868 . The biggest common factor number is the GCF number.
So the greatest common factor 626,931,868 is 1.
Lets's calculate LCM of 462,325,666
2 | 462, 325, 666 |
3 | 231, 325, 333 |
77, 325, 111 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 325 x 111 = 16666650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16666650
Therefore, the GCF of Fractions 626/462,931/325,868/666 is 1/16666650
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 462,325,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,325,666) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(462,325,666) x common factors =1 x 6 = 6
LCM(462,325,666) = ( 462 × 325 × 666 ) / 6
LCM(462,325,666) = 99999900 / 6
LCM(462,325,666) = 16666650
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 626/462, 931/325, 868/666?
Answer: GCF of Numerators as per given numbers 626/462, 931/325, 868/666 is
GCF of Numerators i.e. for 626,931,868 is 1
LCM of denominators i.e. for 462,325,666 is 16666650.
Thus, GCF of Fractions is 1/16666650.Finally, GCF of Fractions for 626/462, 931/325, 868/666 is 1/16666650.