Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/43,745/66,387/371
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 652,745,387
Greatest Common Factor of Numerators i.e. GCF of 652,745,387 is 1 .
LCM of Denominators means LCM of 43,66,371 as per the given fractions.
LCM of 43,66,371 is 1052898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 652,745,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 652,745,387 . The biggest common factor number is the GCF number.
So the greatest common factor 652,745,387 is 1.
Lets's calculate LCM of 43,66,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 1052898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1052898
Therefore, the GCF of Fractions 652/43,745/66,387/371 is 1/1052898
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 43,66,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,66,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,66,371) x common factors =1 x 1 = 1
LCM(43,66,371) = ( 43 × 66 × 371 ) / 1
LCM(43,66,371) = 1052898 / 1
LCM(43,66,371) = 1052898
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 652/43, 745/66, 387/371?
Answer: GCF of Numerators as per given numbers 652/43, 745/66, 387/371 is
GCF of Numerators i.e. for 652,745,387 is 1
LCM of denominators i.e. for 43,66,371 is 1052898.
Thus, GCF of Fractions is 1/1052898.Finally, GCF of Fractions for 652/43, 745/66, 387/371 is 1/1052898.