Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6553/90,9437/947
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 6553,9437
Greatest Common Factor of Numerators i.e. GCF of 6553,9437 is 1 .
LCM of Denominators means LCM of 90,947 as per the given fractions.
LCM of 90,947 is 85230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6553,9437
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6553
List of positive integer factors of 6553 that divides 6553 without a remainder.
1,6553
Factors of 9437
List of positive integer factors of 9437 that divides 9437 without a remainder.
1,9437
Greatest Common Factor
We found the factors 6553,9437 . The biggest common factor number is the GCF number.
So the greatest common factor 6553,9437 is 1.
Lets's calculate LCM of 90,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 85230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85230
Therefore, the GCF of Fractions 6553/90,9437/947 is 1/85230
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 90,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,947) x common factors =1 x 1 = 1
LCM(90,947) = ( 90 × 947 ) / 1
LCM(90,947) = 85230 / 1
LCM(90,947) = 85230
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 6553/90, 9437/947?
Answer: GCF of Numerators as per given numbers 6553/90, 9437/947 is
GCF of Numerators i.e. for 6553,9437 is 1
LCM of denominators i.e. for 90,947 is 85230.
Thus, GCF of Fractions is 1/85230.Finally, GCF of Fractions for 6553/90, 9437/947 is 1/85230.