Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/674,5862/339
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 541,5862
Greatest Common Factor of Numerators i.e. GCF of 541,5862 is 1 .
LCM of Denominators means LCM of 674,339 as per the given fractions.
LCM of 674,339 is 228486 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,5862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 5862
List of positive integer factors of 5862 that divides 5862 without a remainder.
1,2,3,6,977,1954,2931,5862
Greatest Common Factor
We found the factors 541,5862 . The biggest common factor number is the GCF number.
So the greatest common factor 541,5862 is 1.
Lets's calculate LCM of 674,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 228486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228486
Therefore, the GCF of Fractions 541/674,5862/339 is 1/228486
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 674,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,339) x common factors =1 x 1 = 1
LCM(674,339) = ( 674 × 339 ) / 1
LCM(674,339) = 228486 / 1
LCM(674,339) = 228486
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 541/674, 5862/339?
Answer: GCF of Numerators as per given numbers 541/674, 5862/339 is
GCF of Numerators i.e. for 541,5862 is 1
LCM of denominators i.e. for 674,339 is 228486.
Thus, GCF of Fractions is 1/228486.Finally, GCF of Fractions for 541/674, 5862/339 is 1/228486.