Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/51,283/7159
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 387,283
Greatest Common Factor of Numerators i.e. GCF of 387,283 is 1 .
LCM of Denominators means LCM of 51,7159 as per the given fractions.
LCM of 51,7159 is 365109 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 387,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 387,283 . The biggest common factor number is the GCF number.
So the greatest common factor 387,283 is 1.
Lets's calculate LCM of 51,7159
Given numbers has no common factors except 1. So, there LCM is their product i.e 365109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365109
Therefore, the GCF of Fractions 387/51,283/7159 is 1/365109
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 51,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,7159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,7159) x common factors =1 x 1 = 1
LCM(51,7159) = ( 51 × 7159 ) / 1
LCM(51,7159) = 365109 / 1
LCM(51,7159) = 365109
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 387/51, 283/7159?
Answer: GCF of Numerators as per given numbers 387/51, 283/7159 is
GCF of Numerators i.e. for 387,283 is 1
LCM of denominators i.e. for 51,7159 is 365109.
Thus, GCF of Fractions is 1/365109.Finally, GCF of Fractions for 387/51, 283/7159 is 1/365109.