Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 551/23,445/75,754/339
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 551,445,754
Greatest Common Factor of Numerators i.e. GCF of 551,445,754 is 1 .
LCM of Denominators means LCM of 23,75,339 as per the given fractions.
LCM of 23,75,339 is 194925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 551,445,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 551,445,754 . The biggest common factor number is the GCF number.
So the greatest common factor 551,445,754 is 1.
Lets's calculate LCM of 23,75,339
3 | 23, 75, 339 |
23, 25, 113 |
∴ So the LCM of the given numbers is 3 x 23 x 25 x 113 = 194925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194925
Therefore, the GCF of Fractions 551/23,445/75,754/339 is 1/194925
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 23,75,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,75,339) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(23,75,339) x common factors =1 x 3 = 3
LCM(23,75,339) = ( 23 × 75 × 339 ) / 3
LCM(23,75,339) = 584775 / 3
LCM(23,75,339) = 194925
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 551/23, 445/75, 754/339?
Answer: GCF of Numerators as per given numbers 551/23, 445/75, 754/339 is
GCF of Numerators i.e. for 551,445,754 is 1
LCM of denominators i.e. for 23,75,339 is 194925.
Thus, GCF of Fractions is 1/194925.Finally, GCF of Fractions for 551/23, 445/75, 754/339 is 1/194925.