Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7205/469,1716/2260
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 7205,1716
Greatest Common Factor of Numerators i.e. GCF of 7205,1716 is 11 .
LCM of Denominators means LCM of 469,2260 as per the given fractions.
LCM of 469,2260 is 1059940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7205,1716
11 | 7205, 1716 |
655, 156 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 7205
List of positive integer factors of 7205 that divides 7205 without a remainder.
1,5,11,55,131,655,1441,7205
Factors of 1716
List of positive integer factors of 1716 that divides 1716 without a remainder.
1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716
Greatest Common Factor
We found the factors 7205,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 7205,1716 is 11.
Lets's calculate LCM of 469,2260
Given numbers has no common factors except 1. So, there LCM is their product i.e 1059940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1059940
Therefore, the GCF of Fractions 7205/469,1716/2260 is 11/1059940
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 469,2260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,2260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,2260) x common factors =1 x 1 = 1
LCM(469,2260) = ( 469 × 2260 ) / 1
LCM(469,2260) = 1059940 / 1
LCM(469,2260) = 1059940
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 7205/469, 1716/2260?
Answer: GCF of Numerators as per given numbers 7205/469, 1716/2260 is
GCF of Numerators i.e. for 7205,1716 is 11
LCM of denominators i.e. for 469,2260 is 1059940.
Thus, GCF of Fractions is 11/1059940.Finally, GCF of Fractions for 7205/469, 1716/2260 is 11/1059940.