Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3807/262,6832/812
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 3807,6832
Greatest Common Factor of Numerators i.e. GCF of 3807,6832 is 1 .
LCM of Denominators means LCM of 262,812 as per the given fractions.
LCM of 262,812 is 106372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3807,6832
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3807
List of positive integer factors of 3807 that divides 3807 without a remainder.
1,3,9,27,47,81,141,423,1269,3807
Factors of 6832
List of positive integer factors of 6832 that divides 6832 without a remainder.
1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832
Greatest Common Factor
We found the factors 3807,6832 . The biggest common factor number is the GCF number.
So the greatest common factor 3807,6832 is 1.
Lets's calculate LCM of 262,812
2 | 262, 812 |
131, 406 |
∴ So the LCM of the given numbers is 2 x 131 x 406 = 106372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106372
Therefore, the GCF of Fractions 3807/262,6832/812 is 1/106372
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 262,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,812) x common factors =2 x 1 = 2
LCM(262,812) = ( 262 × 812 ) / 2
LCM(262,812) = 212744 / 2
LCM(262,812) = 106372
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 3807/262, 6832/812?
Answer: GCF of Numerators as per given numbers 3807/262, 6832/812 is
GCF of Numerators i.e. for 3807,6832 is 1
LCM of denominators i.e. for 262,812 is 106372.
Thus, GCF of Fractions is 1/106372.Finally, GCF of Fractions for 3807/262, 6832/812 is 1/106372.