Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 551/54,751/71,137/697
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 551,751,137
Greatest Common Factor of Numerators i.e. GCF of 551,751,137 is 1 .
LCM of Denominators means LCM of 54,71,697 as per the given fractions.
LCM of 54,71,697 is 2672298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 551,751,137
∴ 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 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 551,751,137 . The biggest common factor number is the GCF number.
So the greatest common factor 551,751,137 is 1.
Lets's calculate LCM of 54,71,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 2672298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2672298
Therefore, the GCF of Fractions 551/54,751/71,137/697 is 1/2672298
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 54,71,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,71,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,71,697) x common factors =1 x 1 = 1
LCM(54,71,697) = ( 54 × 71 × 697 ) / 1
LCM(54,71,697) = 2672298 / 1
LCM(54,71,697) = 2672298
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 551/54, 751/71, 137/697?
Answer: GCF of Numerators as per given numbers 551/54, 751/71, 137/697 is
GCF of Numerators i.e. for 551,751,137 is 1
LCM of denominators i.e. for 54,71,697 is 2672298.
Thus, GCF of Fractions is 1/2672298.Finally, GCF of Fractions for 551/54, 751/71, 137/697 is 1/2672298.