Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 514/977,458/477,641/739
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 514,458,641
Greatest Common Factor of Numerators i.e. GCF of 514,458,641 is 1 .
LCM of Denominators means LCM of 977,477,739 as per the given fractions.
LCM of 977,477,739 is 344395431 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 514,458,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 514,458,641 . The biggest common factor number is the GCF number.
So the greatest common factor 514,458,641 is 1.
Lets's calculate LCM of 977,477,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 344395431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344395431
Therefore, the GCF of Fractions 514/977,458/477,641/739 is 1/344395431
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 977,477,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,477,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,477,739) x common factors =1 x 1 = 1
LCM(977,477,739) = ( 977 × 477 × 739 ) / 1
LCM(977,477,739) = 344395431 / 1
LCM(977,477,739) = 344395431
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 514/977, 458/477, 641/739?
Answer: GCF of Numerators as per given numbers 514/977, 458/477, 641/739 is
GCF of Numerators i.e. for 514,458,641 is 1
LCM of denominators i.e. for 977,477,739 is 344395431.
Thus, GCF of Fractions is 1/344395431.Finally, GCF of Fractions for 514/977, 458/477, 641/739 is 1/344395431.