Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/4513,870/5583
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 547,870
Greatest Common Factor of Numerators i.e. GCF of 547,870 is 1 .
LCM of Denominators means LCM of 4513,5583 as per the given fractions.
LCM of 4513,5583 is 25196079 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 547,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 547,870 . The biggest common factor number is the GCF number.
So the greatest common factor 547,870 is 1.
Lets's calculate LCM of 4513,5583
Given numbers has no common factors except 1. So, there LCM is their product i.e 25196079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25196079
Therefore, the GCF of Fractions 547/4513,870/5583 is 1/25196079
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 4513,5583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4513,5583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4513,5583) x common factors =1 x 1 = 1
LCM(4513,5583) = ( 4513 × 5583 ) / 1
LCM(4513,5583) = 25196079 / 1
LCM(4513,5583) = 25196079
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 547/4513, 870/5583?
Answer: GCF of Numerators as per given numbers 547/4513, 870/5583 is
GCF of Numerators i.e. for 547,870 is 1
LCM of denominators i.e. for 4513,5583 is 25196079.
Thus, GCF of Fractions is 1/25196079.Finally, GCF of Fractions for 547/4513, 870/5583 is 1/25196079.