Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/71,74/13,86/36,83/959
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 96,74,86,83
Greatest Common Factor of Numerators i.e. GCF of 96,74,86,83 is 1 .
LCM of Denominators means LCM of 71,13,36,959 as per the given fractions.
LCM of 71,13,36,959 is 31865652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,74,86,83
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Greatest Common Factor
We found the factors 96,74,86,83 . The biggest common factor number is the GCF number.
So the greatest common factor 96,74,86,83 is 1.
Lets's calculate LCM of 71,13,36,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 31865652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31865652
Therefore, the GCF of Fractions 96/71,74/13,86/36,83/959 is 1/31865652
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 71,13,36,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,13,36,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,13,36,959) x common factors =1 x 1 = 1
LCM(71,13,36,959) = ( 71 × 13 × 36 × 959 ) / 1
LCM(71,13,36,959) = 31865652 / 1
LCM(71,13,36,959) = 31865652
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 96/71, 74/13, 86/36, 83/959?
Answer: GCF of Numerators as per given numbers 96/71, 74/13, 86/36, 83/959 is
GCF of Numerators i.e. for 96,74,86,83 is 1
LCM of denominators i.e. for 71,13,36,959 is 31865652.
Thus, GCF of Fractions is 1/31865652.Finally, GCF of Fractions for 96/71, 74/13, 86/36, 83/959 is 1/31865652.