Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6882/892,3585/134
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 6882,3585
Greatest Common Factor of Numerators i.e. GCF of 6882,3585 is 3 .
LCM of Denominators means LCM of 892,134 as per the given fractions.
LCM of 892,134 is 59764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6882,3585
3 | 6882, 3585 |
2294, 1195 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6882
List of positive integer factors of 6882 that divides 6882 without a remainder.
1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
Factors of 3585
List of positive integer factors of 3585 that divides 3585 without a remainder.
1,3,5,15,239,717,1195,3585
Greatest Common Factor
We found the factors 6882,3585 . The biggest common factor number is the GCF number.
So the greatest common factor 6882,3585 is 3.
Lets's calculate LCM of 892,134
2 | 892, 134 |
446, 67 |
∴ So the LCM of the given numbers is 2 x 446 x 67 = 59764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59764
Therefore, the GCF of Fractions 6882/892,3585/134 is 3/59764
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 892,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,134) x common factors =2 x 1 = 2
LCM(892,134) = ( 892 × 134 ) / 2
LCM(892,134) = 119528 / 2
LCM(892,134) = 59764
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 6882/892, 3585/134?
Answer: GCF of Numerators as per given numbers 6882/892, 3585/134 is
GCF of Numerators i.e. for 6882,3585 is 3
LCM of denominators i.e. for 892,134 is 59764.
Thus, GCF of Fractions is 3/59764.Finally, GCF of Fractions for 6882/892, 3585/134 is 3/59764.