Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/29,756/67,277/413
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 52,756,277
Greatest Common Factor of Numerators i.e. GCF of 52,756,277 is 1 .
LCM of Denominators means LCM of 29,67,413 as per the given fractions.
LCM of 29,67,413 is 802459 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,756,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 52,756,277 . The biggest common factor number is the GCF number.
So the greatest common factor 52,756,277 is 1.
Lets's calculate LCM of 29,67,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 802459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802459
Therefore, the GCF of Fractions 52/29,756/67,277/413 is 1/802459
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 29,67,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,67,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,67,413) x common factors =1 x 1 = 1
LCM(29,67,413) = ( 29 × 67 × 413 ) / 1
LCM(29,67,413) = 802459 / 1
LCM(29,67,413) = 802459
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 52/29, 756/67, 277/413?
Answer: GCF of Numerators as per given numbers 52/29, 756/67, 277/413 is
GCF of Numerators i.e. for 52,756,277 is 1
LCM of denominators i.e. for 29,67,413 is 802459.
Thus, GCF of Fractions is 1/802459.Finally, GCF of Fractions for 52/29, 756/67, 277/413 is 1/802459.