Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 344/49,108/97,219/631
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 344,108,219
Greatest Common Factor of Numerators i.e. GCF of 344,108,219 is 1 .
LCM of Denominators means LCM of 49,97,631 as per the given fractions.
LCM of 49,97,631 is 2999143 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 344,108,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 344,108,219 . The biggest common factor number is the GCF number.
So the greatest common factor 344,108,219 is 1.
Lets's calculate LCM of 49,97,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 2999143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2999143
Therefore, the GCF of Fractions 344/49,108/97,219/631 is 1/2999143
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 49,97,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,97,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,97,631) x common factors =1 x 1 = 1
LCM(49,97,631) = ( 49 × 97 × 631 ) / 1
LCM(49,97,631) = 2999143 / 1
LCM(49,97,631) = 2999143
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 344/49, 108/97, 219/631?
Answer: GCF of Numerators as per given numbers 344/49, 108/97, 219/631 is
GCF of Numerators i.e. for 344,108,219 is 1
LCM of denominators i.e. for 49,97,631 is 2999143.
Thus, GCF of Fractions is 1/2999143.Finally, GCF of Fractions for 344/49, 108/97, 219/631 is 1/2999143.