Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/82,75/332,826/685
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 30,75,826
Greatest Common Factor of Numerators i.e. GCF of 30,75,826 is 1 .
LCM of Denominators means LCM of 82,332,685 as per the given fractions.
LCM of 82,332,685 is 9324220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,75,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 30,75,826 . The biggest common factor number is the GCF number.
So the greatest common factor 30,75,826 is 1.
Lets's calculate LCM of 82,332,685
2 | 82, 332, 685 |
41, 166, 685 |
∴ So the LCM of the given numbers is 2 x 41 x 166 x 685 = 9324220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9324220
Therefore, the GCF of Fractions 30/82,75/332,826/685 is 1/9324220
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 82,332,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,332,685) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,332,685) x common factors =1 x 2 = 2
LCM(82,332,685) = ( 82 × 332 × 685 ) / 2
LCM(82,332,685) = 18648440 / 2
LCM(82,332,685) = 9324220
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 30/82, 75/332, 826/685?
Answer: GCF of Numerators as per given numbers 30/82, 75/332, 826/685 is
GCF of Numerators i.e. for 30,75,826 is 1
LCM of denominators i.e. for 82,332,685 is 9324220.
Thus, GCF of Fractions is 1/9324220.Finally, GCF of Fractions for 30/82, 75/332, 826/685 is 1/9324220.