Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1852/847,6743/2169
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 1852,6743
Greatest Common Factor of Numerators i.e. GCF of 1852,6743 is 1 .
LCM of Denominators means LCM of 847,2169 as per the given fractions.
LCM of 847,2169 is 1837143 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1852,6743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1852
List of positive integer factors of 1852 that divides 1852 without a remainder.
1,2,4,463,926,1852
Factors of 6743
List of positive integer factors of 6743 that divides 6743 without a remainder.
1,11,613,6743
Greatest Common Factor
We found the factors 1852,6743 . The biggest common factor number is the GCF number.
So the greatest common factor 1852,6743 is 1.
Lets's calculate LCM of 847,2169
Given numbers has no common factors except 1. So, there LCM is their product i.e 1837143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1837143
Therefore, the GCF of Fractions 1852/847,6743/2169 is 1/1837143
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 847,2169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,2169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,2169) x common factors =1 x 1 = 1
LCM(847,2169) = ( 847 × 2169 ) / 1
LCM(847,2169) = 1837143 / 1
LCM(847,2169) = 1837143
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 1852/847, 6743/2169?
Answer: GCF of Numerators as per given numbers 1852/847, 6743/2169 is
GCF of Numerators i.e. for 1852,6743 is 1
LCM of denominators i.e. for 847,2169 is 1837143.
Thus, GCF of Fractions is 1/1837143.Finally, GCF of Fractions for 1852/847, 6743/2169 is 1/1837143.