Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/740,9471/939
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 369,9471
Greatest Common Factor of Numerators i.e. GCF of 369,9471 is 123 .
LCM of Denominators means LCM of 740,939 as per the given fractions.
LCM of 740,939 is 694860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 369,9471
3 | 369, 9471 |
41 | 123, 3157 |
3, 77 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 9471
List of positive integer factors of 9471 that divides 9471 without a remainder.
1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Greatest Common Factor
We found the factors 369,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 369,9471 is 123.
Lets's calculate LCM of 740,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 694860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/694860
Therefore, the GCF of Fractions 369/740,9471/939 is 123/694860
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 740,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,939) x common factors =1 x 1 = 1
LCM(740,939) = ( 740 × 939 ) / 1
LCM(740,939) = 694860 / 1
LCM(740,939) = 694860
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 369/740, 9471/939?
Answer: GCF of Numerators as per given numbers 369/740, 9471/939 is
GCF of Numerators i.e. for 369,9471 is 123
LCM of denominators i.e. for 740,939 is 694860.
Thus, GCF of Fractions is 123/694860.Finally, GCF of Fractions for 369/740, 9471/939 is 123/694860.