Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/95,477/5913
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 901,477
Greatest Common Factor of Numerators i.e. GCF of 901,477 is 53 .
LCM of Denominators means LCM of 95,5913 as per the given fractions.
LCM of 95,5913 is 561735 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 901,477
53 | 901, 477 |
17, 9 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 901,477 . The biggest common factor number is the GCF number.
So the greatest common factor 901,477 is 53.
Lets's calculate LCM of 95,5913
Given numbers has no common factors except 1. So, there LCM is their product i.e 561735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/561735
Therefore, the GCF of Fractions 901/95,477/5913 is 53/561735
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 95,5913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,5913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,5913) x common factors =1 x 1 = 1
LCM(95,5913) = ( 95 × 5913 ) / 1
LCM(95,5913) = 561735 / 1
LCM(95,5913) = 561735
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 901/95, 477/5913?
Answer: GCF of Numerators as per given numbers 901/95, 477/5913 is
GCF of Numerators i.e. for 901,477 is 53
LCM of denominators i.e. for 95,5913 is 561735.
Thus, GCF of Fractions is 53/561735.Finally, GCF of Fractions for 901/95, 477/5913 is 53/561735.