Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/59,826/53,673/754
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 270,826,673
Greatest Common Factor of Numerators i.e. GCF of 270,826,673 is 1 .
LCM of Denominators means LCM of 59,53,754 as per the given fractions.
LCM of 59,53,754 is 2357758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,826,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 270,826,673 . The biggest common factor number is the GCF number.
So the greatest common factor 270,826,673 is 1.
Lets's calculate LCM of 59,53,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 2357758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2357758
Therefore, the GCF of Fractions 270/59,826/53,673/754 is 1/2357758
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 59,53,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,53,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,53,754) x common factors =1 x 1 = 1
LCM(59,53,754) = ( 59 × 53 × 754 ) / 1
LCM(59,53,754) = 2357758 / 1
LCM(59,53,754) = 2357758
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 270/59, 826/53, 673/754?
Answer: GCF of Numerators as per given numbers 270/59, 826/53, 673/754 is
GCF of Numerators i.e. for 270,826,673 is 1
LCM of denominators i.e. for 59,53,754 is 2357758.
Thus, GCF of Fractions is 1/2357758.Finally, GCF of Fractions for 270/59, 826/53, 673/754 is 1/2357758.