Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7022/964,5999/129
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 7022,5999
Greatest Common Factor of Numerators i.e. GCF of 7022,5999 is 1 .
LCM of Denominators means LCM of 964,129 as per the given fractions.
LCM of 964,129 is 124356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7022,5999
∴ 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 5999
List of positive integer factors of 5999 that divides 5999 without a remainder.
1,7,857,5999
Greatest Common Factor
We found the factors 7022,5999 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,5999 is 1.
Lets's calculate LCM of 964,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 124356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124356
Therefore, the GCF of Fractions 7022/964,5999/129 is 1/124356
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 964,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,129) x common factors =1 x 1 = 1
LCM(964,129) = ( 964 × 129 ) / 1
LCM(964,129) = 124356 / 1
LCM(964,129) = 124356
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 7022/964, 5999/129?
Answer: GCF of Numerators as per given numbers 7022/964, 5999/129 is
GCF of Numerators i.e. for 7022,5999 is 1
LCM of denominators i.e. for 964,129 is 124356.
Thus, GCF of Fractions is 1/124356.Finally, GCF of Fractions for 7022/964, 5999/129 is 1/124356.