Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 475/57,545/62,682/955
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 475,545,682
Greatest Common Factor of Numerators i.e. GCF of 475,545,682 is 1 .
LCM of Denominators means LCM of 57,62,955 as per the given fractions.
LCM of 57,62,955 is 3374970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 475,545,682
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 475,545,682 . The biggest common factor number is the GCF number.
So the greatest common factor 475,545,682 is 1.
Lets's calculate LCM of 57,62,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 3374970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3374970
Therefore, the GCF of Fractions 475/57,545/62,682/955 is 1/3374970
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 57,62,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,62,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,62,955) x common factors =1 x 1 = 1
LCM(57,62,955) = ( 57 × 62 × 955 ) / 1
LCM(57,62,955) = 3374970 / 1
LCM(57,62,955) = 3374970
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 475/57, 545/62, 682/955?
Answer: GCF of Numerators as per given numbers 475/57, 545/62, 682/955 is
GCF of Numerators i.e. for 475,545,682 is 1
LCM of denominators i.e. for 57,62,955 is 3374970.
Thus, GCF of Fractions is 1/3374970.Finally, GCF of Fractions for 475/57, 545/62, 682/955 is 1/3374970.