Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/14,186/55,974/82
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 648,186,974
Greatest Common Factor of Numerators i.e. GCF of 648,186,974 is 2 .
LCM of Denominators means LCM of 14,55,82 as per the given fractions.
LCM of 14,55,82 is 31570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,186,974
2 | 648, 186, 974 |
324, 93, 487 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 648,186,974 . The biggest common factor number is the GCF number.
So the greatest common factor 648,186,974 is 2.
Lets's calculate LCM of 14,55,82
2 | 14, 55, 82 |
7, 55, 41 |
∴ So the LCM of the given numbers is 2 x 7 x 55 x 41 = 31570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31570
Therefore, the GCF of Fractions 648/14,186/55,974/82 is 2/31570
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 14,55,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,55,82) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,55,82) x common factors =1 x 2 = 2
LCM(14,55,82) = ( 14 × 55 × 82 ) / 2
LCM(14,55,82) = 63140 / 2
LCM(14,55,82) = 31570
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 648/14, 186/55, 974/82?
Answer: GCF of Numerators as per given numbers 648/14, 186/55, 974/82 is
GCF of Numerators i.e. for 648,186,974 is 2
LCM of denominators i.e. for 14,55,82 is 31570.
Thus, GCF of Fractions is 2/31570.Finally, GCF of Fractions for 648/14, 186/55, 974/82 is 2/31570.