Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 449/53,646/91,732/661
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 449,646,732
Greatest Common Factor of Numerators i.e. GCF of 449,646,732 is 1 .
LCM of Denominators means LCM of 53,91,661 as per the given fractions.
LCM of 53,91,661 is 3188003 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 449,646,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 449,646,732 . The biggest common factor number is the GCF number.
So the greatest common factor 449,646,732 is 1.
Lets's calculate LCM of 53,91,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 3188003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3188003
Therefore, the GCF of Fractions 449/53,646/91,732/661 is 1/3188003
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 53,91,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,91,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,91,661) x common factors =1 x 1 = 1
LCM(53,91,661) = ( 53 × 91 × 661 ) / 1
LCM(53,91,661) = 3188003 / 1
LCM(53,91,661) = 3188003
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 449/53, 646/91, 732/661?
Answer: GCF of Numerators as per given numbers 449/53, 646/91, 732/661 is
GCF of Numerators i.e. for 449,646,732 is 1
LCM of denominators i.e. for 53,91,661 is 3188003.
Thus, GCF of Fractions is 1/3188003.Finally, GCF of Fractions for 449/53, 646/91, 732/661 is 1/3188003.