Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/87,682/68,531/204
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 946,682,531
Greatest Common Factor of Numerators i.e. GCF of 946,682,531 is 1 .
LCM of Denominators means LCM of 87,68,204 as per the given fractions.
LCM of 87,68,204 is 5916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 946,682,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 946,682,531 . The biggest common factor number is the GCF number.
So the greatest common factor 946,682,531 is 1.
Lets's calculate LCM of 87,68,204
2 | 87, 68, 204 |
2 | 87, 34, 102 |
3 | 87, 17, 51 |
17 | 29, 17, 17 |
29, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 29 x 1 x 1 = 5916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5916
Therefore, the GCF of Fractions 946/87,682/68,531/204 is 1/5916
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 87,68,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,68,204) = 1
common factors(in case of two or more numbers have common factors) = 204
GCF(87,68,204) x common factors =1 x 204 = 204
LCM(87,68,204) = ( 87 × 68 × 204 ) / 204
LCM(87,68,204) = 1206864 / 204
LCM(87,68,204) = 5916
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 946/87, 682/68, 531/204?
Answer: GCF of Numerators as per given numbers 946/87, 682/68, 531/204 is
GCF of Numerators i.e. for 946,682,531 is 1
LCM of denominators i.e. for 87,68,204 is 5916.
Thus, GCF of Fractions is 1/5916.Finally, GCF of Fractions for 946/87, 682/68, 531/204 is 1/5916.