Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/953,715/396,151/629
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 23,715,151
Greatest Common Factor of Numerators i.e. GCF of 23,715,151 is 1 .
LCM of Denominators means LCM of 953,396,629 as per the given fractions.
LCM of 953,396,629 is 237377052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,715,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 23,715,151 . The biggest common factor number is the GCF number.
So the greatest common factor 23,715,151 is 1.
Lets's calculate LCM of 953,396,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 237377052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237377052
Therefore, the GCF of Fractions 23/953,715/396,151/629 is 1/237377052
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 953,396,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,396,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,396,629) x common factors =1 x 1 = 1
LCM(953,396,629) = ( 953 × 396 × 629 ) / 1
LCM(953,396,629) = 237377052 / 1
LCM(953,396,629) = 237377052
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 23/953, 715/396, 151/629?
Answer: GCF of Numerators as per given numbers 23/953, 715/396, 151/629 is
GCF of Numerators i.e. for 23,715,151 is 1
LCM of denominators i.e. for 953,396,629 is 237377052.
Thus, GCF of Fractions is 1/237377052.Finally, GCF of Fractions for 23/953, 715/396, 151/629 is 1/237377052.