Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/839,38/629,724/145
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 55,38,724
Greatest Common Factor of Numerators i.e. GCF of 55,38,724 is 1 .
LCM of Denominators means LCM of 839,629,145 as per the given fractions.
LCM of 839,629,145 is 76520995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,38,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 55,38,724 . The biggest common factor number is the GCF number.
So the greatest common factor 55,38,724 is 1.
Lets's calculate LCM of 839,629,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 76520995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76520995
Therefore, the GCF of Fractions 55/839,38/629,724/145 is 1/76520995
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 839,629,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,629,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,629,145) x common factors =1 x 1 = 1
LCM(839,629,145) = ( 839 × 629 × 145 ) / 1
LCM(839,629,145) = 76520995 / 1
LCM(839,629,145) = 76520995
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 55/839, 38/629, 724/145?
Answer: GCF of Numerators as per given numbers 55/839, 38/629, 724/145 is
GCF of Numerators i.e. for 55,38,724 is 1
LCM of denominators i.e. for 839,629,145 is 76520995.
Thus, GCF of Fractions is 1/76520995.Finally, GCF of Fractions for 55/839, 38/629, 724/145 is 1/76520995.