Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6372/237,1879/929
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 6372,1879
Greatest Common Factor of Numerators i.e. GCF of 6372,1879 is 1 .
LCM of Denominators means LCM of 237,929 as per the given fractions.
LCM of 237,929 is 220173 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6372,1879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6372
List of positive integer factors of 6372 that divides 6372 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Factors of 1879
List of positive integer factors of 1879 that divides 1879 without a remainder.
1,1879
Greatest Common Factor
We found the factors 6372,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 6372,1879 is 1.
Lets's calculate LCM of 237,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 220173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220173
Therefore, the GCF of Fractions 6372/237,1879/929 is 1/220173
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 237,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,929) x common factors =1 x 1 = 1
LCM(237,929) = ( 237 × 929 ) / 1
LCM(237,929) = 220173 / 1
LCM(237,929) = 220173
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 6372/237, 1879/929?
Answer: GCF of Numerators as per given numbers 6372/237, 1879/929 is
GCF of Numerators i.e. for 6372,1879 is 1
LCM of denominators i.e. for 237,929 is 220173.
Thus, GCF of Fractions is 1/220173.Finally, GCF of Fractions for 6372/237, 1879/929 is 1/220173.