Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/58,453/61,357/123
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 110,453,357
Greatest Common Factor of Numerators i.e. GCF of 110,453,357 is 1 .
LCM of Denominators means LCM of 58,61,123 as per the given fractions.
LCM of 58,61,123 is 435174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,453,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 110,453,357 . The biggest common factor number is the GCF number.
So the greatest common factor 110,453,357 is 1.
Lets's calculate LCM of 58,61,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 435174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435174
Therefore, the GCF of Fractions 110/58,453/61,357/123 is 1/435174
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 58,61,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,61,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,61,123) x common factors =1 x 1 = 1
LCM(58,61,123) = ( 58 × 61 × 123 ) / 1
LCM(58,61,123) = 435174 / 1
LCM(58,61,123) = 435174
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 110/58, 453/61, 357/123?
Answer: GCF of Numerators as per given numbers 110/58, 453/61, 357/123 is
GCF of Numerators i.e. for 110,453,357 is 1
LCM of denominators i.e. for 58,61,123 is 435174.
Thus, GCF of Fractions is 1/435174.Finally, GCF of Fractions for 110/58, 453/61, 357/123 is 1/435174.