Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8787/761,9983/347
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 8787,9983
Greatest Common Factor of Numerators i.e. GCF of 8787,9983 is 1 .
LCM of Denominators means LCM of 761,347 as per the given fractions.
LCM of 761,347 is 264067 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8787,9983
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1,3,29,87,101,303,2929,8787
Factors of 9983
List of positive integer factors of 9983 that divides 9983 without a remainder.
1,67,149,9983
Greatest Common Factor
We found the factors 8787,9983 . The biggest common factor number is the GCF number.
So the greatest common factor 8787,9983 is 1.
Lets's calculate LCM of 761,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 264067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264067
Therefore, the GCF of Fractions 8787/761,9983/347 is 1/264067
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 761,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,347) x common factors =1 x 1 = 1
LCM(761,347) = ( 761 × 347 ) / 1
LCM(761,347) = 264067 / 1
LCM(761,347) = 264067
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 8787/761, 9983/347?
Answer: GCF of Numerators as per given numbers 8787/761, 9983/347 is
GCF of Numerators i.e. for 8787,9983 is 1
LCM of denominators i.e. for 761,347 is 264067.
Thus, GCF of Fractions is 1/264067.Finally, GCF of Fractions for 8787/761, 9983/347 is 1/264067.