Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2371/214,7322/7738
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 2371,7322
Greatest Common Factor of Numerators i.e. GCF of 2371,7322 is 1 .
LCM of Denominators means LCM of 214,7738 as per the given fractions.
LCM of 214,7738 is 827966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2371,7322
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2371
List of positive integer factors of 2371 that divides 2371 without a remainder.
1,2371
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 2371,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 2371,7322 is 1.
Lets's calculate LCM of 214,7738
2 | 214, 7738 |
107, 3869 |
∴ So the LCM of the given numbers is 2 x 107 x 3869 = 827966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/827966
Therefore, the GCF of Fractions 2371/214,7322/7738 is 1/827966
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 214,7738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,7738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,7738) x common factors =2 x 1 = 2
LCM(214,7738) = ( 214 × 7738 ) / 2
LCM(214,7738) = 1655932 / 2
LCM(214,7738) = 827966
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 2371/214, 7322/7738?
Answer: GCF of Numerators as per given numbers 2371/214, 7322/7738 is
GCF of Numerators i.e. for 2371,7322 is 1
LCM of denominators i.e. for 214,7738 is 827966.
Thus, GCF of Fractions is 1/827966.Finally, GCF of Fractions for 2371/214, 7322/7738 is 1/827966.