Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 738/29,882/7743
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 738,882
Greatest Common Factor of Numerators i.e. GCF of 738,882 is 18 .
LCM of Denominators means LCM of 29,7743 as per the given fractions.
LCM of 29,7743 is 7743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 738,882
2 | 738, 882 |
3 | 369, 441 |
3 | 123, 147 |
41, 49 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 738,882 . The biggest common factor number is the GCF number.
So the greatest common factor 738,882 is 18.
Lets's calculate LCM of 29,7743
29 | 29, 7743 |
1, 267 |
∴ So the LCM of the given numbers is 29 x 1 x 267 = 7743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/7743
Therefore, the GCF of Fractions 738/29,882/7743 is 18/7743
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 29,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,7743) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(29,7743) x common factors =29 x 1 = 29
LCM(29,7743) = ( 29 × 7743 ) / 29
LCM(29,7743) = 224547 / 29
LCM(29,7743) = 7743
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 738/29, 882/7743?
Answer: GCF of Numerators as per given numbers 738/29, 882/7743 is
GCF of Numerators i.e. for 738,882 is 18
LCM of denominators i.e. for 29,7743 is 7743.
Thus, GCF of Fractions is 18/7743.Finally, GCF of Fractions for 738/29, 882/7743 is 18/7743.