Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 873/38,563/8553
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 873,563
Greatest Common Factor of Numerators i.e. GCF of 873,563 is 1 .
LCM of Denominators means LCM of 38,8553 as per the given fractions.
LCM of 38,8553 is 325014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 873,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 873,563 . The biggest common factor number is the GCF number.
So the greatest common factor 873,563 is 1.
Lets's calculate LCM of 38,8553
Given numbers has no common factors except 1. So, there LCM is their product i.e 325014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325014
Therefore, the GCF of Fractions 873/38,563/8553 is 1/325014
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 38,8553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,8553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,8553) x common factors =1 x 1 = 1
LCM(38,8553) = ( 38 × 8553 ) / 1
LCM(38,8553) = 325014 / 1
LCM(38,8553) = 325014
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 873/38, 563/8553?
Answer: GCF of Numerators as per given numbers 873/38, 563/8553 is
GCF of Numerators i.e. for 873,563 is 1
LCM of denominators i.e. for 38,8553 is 325014.
Thus, GCF of Fractions is 1/325014.Finally, GCF of Fractions for 873/38, 563/8553 is 1/325014.