Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6021/608,4861/865
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 6021,4861
Greatest Common Factor of Numerators i.e. GCF of 6021,4861 is 1 .
LCM of Denominators means LCM of 608,865 as per the given fractions.
LCM of 608,865 is 525920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6021,4861
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6021
List of positive integer factors of 6021 that divides 6021 without a remainder.
1,3,9,27,223,669,2007,6021
Factors of 4861
List of positive integer factors of 4861 that divides 4861 without a remainder.
1,4861
Greatest Common Factor
We found the factors 6021,4861 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,4861 is 1.
Lets's calculate LCM of 608,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 525920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525920
Therefore, the GCF of Fractions 6021/608,4861/865 is 1/525920
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 608,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,865) x common factors =1 x 1 = 1
LCM(608,865) = ( 608 × 865 ) / 1
LCM(608,865) = 525920 / 1
LCM(608,865) = 525920
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 6021/608, 4861/865?
Answer: GCF of Numerators as per given numbers 6021/608, 4861/865 is
GCF of Numerators i.e. for 6021,4861 is 1
LCM of denominators i.e. for 608,865 is 525920.
Thus, GCF of Fractions is 1/525920.Finally, GCF of Fractions for 6021/608, 4861/865 is 1/525920.