Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/547,756/559
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 715,756
Greatest Common Factor of Numerators i.e. GCF of 715,756 is 1 .
LCM of Denominators means LCM of 547,559 as per the given fractions.
LCM of 547,559 is 305773 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 715,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
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
Greatest Common Factor
We found the factors 715,756 . The biggest common factor number is the GCF number.
So the greatest common factor 715,756 is 1.
Lets's calculate LCM of 547,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 305773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305773
Therefore, the GCF of Fractions 715/547,756/559 is 1/305773
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 547,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,559) x common factors =1 x 1 = 1
LCM(547,559) = ( 547 × 559 ) / 1
LCM(547,559) = 305773 / 1
LCM(547,559) = 305773
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 715/547, 756/559?
Answer: GCF of Numerators as per given numbers 715/547, 756/559 is
GCF of Numerators i.e. for 715,756 is 1
LCM of denominators i.e. for 547,559 is 305773.
Thus, GCF of Fractions is 1/305773.Finally, GCF of Fractions for 715/547, 756/559 is 1/305773.