Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6926/28,4697/146
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 6926,4697
Greatest Common Factor of Numerators i.e. GCF of 6926,4697 is 1 .
LCM of Denominators means LCM of 28,146 as per the given fractions.
LCM of 28,146 is 2044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6926,4697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6926
List of positive integer factors of 6926 that divides 6926 without a remainder.
1,2,3463,6926
Factors of 4697
List of positive integer factors of 4697 that divides 4697 without a remainder.
1,7,11,61,77,427,671,4697
Greatest Common Factor
We found the factors 6926,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 6926,4697 is 1.
Lets's calculate LCM of 28,146
2 | 28, 146 |
14, 73 |
∴ So the LCM of the given numbers is 2 x 14 x 73 = 2044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2044
Therefore, the GCF of Fractions 6926/28,4697/146 is 1/2044
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 28,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,146) x common factors =2 x 1 = 2
LCM(28,146) = ( 28 × 146 ) / 2
LCM(28,146) = 4088 / 2
LCM(28,146) = 2044
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 6926/28, 4697/146?
Answer: GCF of Numerators as per given numbers 6926/28, 4697/146 is
GCF of Numerators i.e. for 6926,4697 is 1
LCM of denominators i.e. for 28,146 is 2044.
Thus, GCF of Fractions is 1/2044.Finally, GCF of Fractions for 6926/28, 4697/146 is 1/2044.