Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/76,46/34,838/683
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 29,46,838
Greatest Common Factor of Numerators i.e. GCF of 29,46,838 is 1 .
LCM of Denominators means LCM of 76,34,683 as per the given fractions.
LCM of 76,34,683 is 882436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,46,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 29,46,838 . The biggest common factor number is the GCF number.
So the greatest common factor 29,46,838 is 1.
Lets's calculate LCM of 76,34,683
2 | 76, 34, 683 |
38, 17, 683 |
∴ So the LCM of the given numbers is 2 x 38 x 17 x 683 = 882436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882436
Therefore, the GCF of Fractions 29/76,46/34,838/683 is 1/882436
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 76,34,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,34,683) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,34,683) x common factors =1 x 2 = 2
LCM(76,34,683) = ( 76 × 34 × 683 ) / 2
LCM(76,34,683) = 1764872 / 2
LCM(76,34,683) = 882436
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 29/76, 46/34, 838/683?
Answer: GCF of Numerators as per given numbers 29/76, 46/34, 838/683 is
GCF of Numerators i.e. for 29,46,838 is 1
LCM of denominators i.e. for 76,34,683 is 882436.
Thus, GCF of Fractions is 1/882436.Finally, GCF of Fractions for 29/76, 46/34, 838/683 is 1/882436.