Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/751,89/682,750/633
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 96,89,750
Greatest Common Factor of Numerators i.e. GCF of 96,89,750 is 1 .
LCM of Denominators means LCM of 751,682,633 as per the given fractions.
LCM of 751,682,633 is 324211206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,89,750
∴ 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 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 96,89,750 . The biggest common factor number is the GCF number.
So the greatest common factor 96,89,750 is 1.
Lets's calculate LCM of 751,682,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 324211206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324211206
Therefore, the GCF of Fractions 96/751,89/682,750/633 is 1/324211206
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 751,682,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,682,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,682,633) x common factors =1 x 1 = 1
LCM(751,682,633) = ( 751 × 682 × 633 ) / 1
LCM(751,682,633) = 324211206 / 1
LCM(751,682,633) = 324211206
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 96/751, 89/682, 750/633?
Answer: GCF of Numerators as per given numbers 96/751, 89/682, 750/633 is
GCF of Numerators i.e. for 96,89,750 is 1
LCM of denominators i.e. for 751,682,633 is 324211206.
Thus, GCF of Fractions is 1/324211206.Finally, GCF of Fractions for 96/751, 89/682, 750/633 is 1/324211206.