Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/757,103/640,449/917
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 11,103,449
Greatest Common Factor of Numerators i.e. GCF of 11,103,449 is 1 .
LCM of Denominators means LCM of 757,640,917 as per the given fractions.
LCM of 757,640,917 is 444268160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,103,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 11,103,449 . The biggest common factor number is the GCF number.
So the greatest common factor 11,103,449 is 1.
Lets's calculate LCM of 757,640,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 444268160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444268160
Therefore, the GCF of Fractions 11/757,103/640,449/917 is 1/444268160
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 757,640,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,640,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,640,917) x common factors =1 x 1 = 1
LCM(757,640,917) = ( 757 × 640 × 917 ) / 1
LCM(757,640,917) = 444268160 / 1
LCM(757,640,917) = 444268160
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 11/757, 103/640, 449/917?
Answer: GCF of Numerators as per given numbers 11/757, 103/640, 449/917 is
GCF of Numerators i.e. for 11,103,449 is 1
LCM of denominators i.e. for 757,640,917 is 444268160.
Thus, GCF of Fractions is 1/444268160.Finally, GCF of Fractions for 11/757, 103/640, 449/917 is 1/444268160.