Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6957/345,2171/8347
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 6957,2171
Greatest Common Factor of Numerators i.e. GCF of 6957,2171 is 1 .
LCM of Denominators means LCM of 345,8347 as per the given fractions.
LCM of 345,8347 is 2879715 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6957,2171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6957
List of positive integer factors of 6957 that divides 6957 without a remainder.
1,3,9,773,2319,6957
Factors of 2171
List of positive integer factors of 2171 that divides 2171 without a remainder.
1,13,167,2171
Greatest Common Factor
We found the factors 6957,2171 . The biggest common factor number is the GCF number.
So the greatest common factor 6957,2171 is 1.
Lets's calculate LCM of 345,8347
Given numbers has no common factors except 1. So, there LCM is their product i.e 2879715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2879715
Therefore, the GCF of Fractions 6957/345,2171/8347 is 1/2879715
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 345,8347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,8347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,8347) x common factors =1 x 1 = 1
LCM(345,8347) = ( 345 × 8347 ) / 1
LCM(345,8347) = 2879715 / 1
LCM(345,8347) = 2879715
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 6957/345, 2171/8347?
Answer: GCF of Numerators as per given numbers 6957/345, 2171/8347 is
GCF of Numerators i.e. for 6957,2171 is 1
LCM of denominators i.e. for 345,8347 is 2879715.
Thus, GCF of Fractions is 1/2879715.Finally, GCF of Fractions for 6957/345, 2171/8347 is 1/2879715.