Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/973,6503/587
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 587,6503
Greatest Common Factor of Numerators i.e. GCF of 587,6503 is 1 .
LCM of Denominators means LCM of 973,587 as per the given fractions.
LCM of 973,587 is 571151 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 587,6503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 6503
List of positive integer factors of 6503 that divides 6503 without a remainder.
1,7,929,6503
Greatest Common Factor
We found the factors 587,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 587,6503 is 1.
Lets's calculate LCM of 973,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 571151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571151
Therefore, the GCF of Fractions 587/973,6503/587 is 1/571151
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 973,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,587) x common factors =1 x 1 = 1
LCM(973,587) = ( 973 × 587 ) / 1
LCM(973,587) = 571151 / 1
LCM(973,587) = 571151
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 587/973, 6503/587?
Answer: GCF of Numerators as per given numbers 587/973, 6503/587 is
GCF of Numerators i.e. for 587,6503 is 1
LCM of denominators i.e. for 973,587 is 571151.
Thus, GCF of Fractions is 1/571151.Finally, GCF of Fractions for 587/973, 6503/587 is 1/571151.