Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/55,756/78,473/593
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 646,756,473
Greatest Common Factor of Numerators i.e. GCF of 646,756,473 is 1 .
LCM of Denominators means LCM of 55,78,593 as per the given fractions.
LCM of 55,78,593 is 2543970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,756,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
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 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 646,756,473 . The biggest common factor number is the GCF number.
So the greatest common factor 646,756,473 is 1.
Lets's calculate LCM of 55,78,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 2543970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2543970
Therefore, the GCF of Fractions 646/55,756/78,473/593 is 1/2543970
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 55,78,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,78,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,78,593) x common factors =1 x 1 = 1
LCM(55,78,593) = ( 55 × 78 × 593 ) / 1
LCM(55,78,593) = 2543970 / 1
LCM(55,78,593) = 2543970
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 646/55, 756/78, 473/593?
Answer: GCF of Numerators as per given numbers 646/55, 756/78, 473/593 is
GCF of Numerators i.e. for 646,756,473 is 1
LCM of denominators i.e. for 55,78,593 is 2543970.
Thus, GCF of Fractions is 1/2543970.Finally, GCF of Fractions for 646/55, 756/78, 473/593 is 1/2543970.