Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7967/179,2036/6378
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 7967,2036
Greatest Common Factor of Numerators i.e. GCF of 7967,2036 is 1 .
LCM of Denominators means LCM of 179,6378 as per the given fractions.
LCM of 179,6378 is 1141662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7967,2036
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7967
List of positive integer factors of 7967 that divides 7967 without a remainder.
1,31,257,7967
Factors of 2036
List of positive integer factors of 2036 that divides 2036 without a remainder.
1,2,4,509,1018,2036
Greatest Common Factor
We found the factors 7967,2036 . The biggest common factor number is the GCF number.
So the greatest common factor 7967,2036 is 1.
Lets's calculate LCM of 179,6378
Given numbers has no common factors except 1. So, there LCM is their product i.e 1141662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1141662
Therefore, the GCF of Fractions 7967/179,2036/6378 is 1/1141662
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 179,6378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,6378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,6378) x common factors =1 x 1 = 1
LCM(179,6378) = ( 179 × 6378 ) / 1
LCM(179,6378) = 1141662 / 1
LCM(179,6378) = 1141662
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 7967/179, 2036/6378?
Answer: GCF of Numerators as per given numbers 7967/179, 2036/6378 is
GCF of Numerators i.e. for 7967,2036 is 1
LCM of denominators i.e. for 179,6378 is 1141662.
Thus, GCF of Fractions is 1/1141662.Finally, GCF of Fractions for 7967/179, 2036/6378 is 1/1141662.