Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7022/722,2659/1857
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 7022,2659
Greatest Common Factor of Numerators i.e. GCF of 7022,2659 is 1 .
LCM of Denominators means LCM of 722,1857 as per the given fractions.
LCM of 722,1857 is 1340754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7022,2659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7022
List of positive integer factors of 7022 that divides 7022 without a remainder.
1,2,3511,7022
Factors of 2659
List of positive integer factors of 2659 that divides 2659 without a remainder.
1,2659
Greatest Common Factor
We found the factors 7022,2659 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,2659 is 1.
Lets's calculate LCM of 722,1857
Given numbers has no common factors except 1. So, there LCM is their product i.e 1340754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1340754
Therefore, the GCF of Fractions 7022/722,2659/1857 is 1/1340754
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 722,1857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,1857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,1857) x common factors =1 x 1 = 1
LCM(722,1857) = ( 722 × 1857 ) / 1
LCM(722,1857) = 1340754 / 1
LCM(722,1857) = 1340754
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 7022/722, 2659/1857?
Answer: GCF of Numerators as per given numbers 7022/722, 2659/1857 is
GCF of Numerators i.e. for 7022,2659 is 1
LCM of denominators i.e. for 722,1857 is 1340754.
Thus, GCF of Fractions is 1/1340754.Finally, GCF of Fractions for 7022/722, 2659/1857 is 1/1340754.