Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/78,43/85,165/757
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 80,43,165
Greatest Common Factor of Numerators i.e. GCF of 80,43,165 is 1 .
LCM of Denominators means LCM of 78,85,757 as per the given fractions.
LCM of 78,85,757 is 5018910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,43,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 80,43,165 . The biggest common factor number is the GCF number.
So the greatest common factor 80,43,165 is 1.
Lets's calculate LCM of 78,85,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 5018910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5018910
Therefore, the GCF of Fractions 80/78,43/85,165/757 is 1/5018910
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 78,85,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,85,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,85,757) x common factors =1 x 1 = 1
LCM(78,85,757) = ( 78 × 85 × 757 ) / 1
LCM(78,85,757) = 5018910 / 1
LCM(78,85,757) = 5018910
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 80/78, 43/85, 165/757?
Answer: GCF of Numerators as per given numbers 80/78, 43/85, 165/757 is
GCF of Numerators i.e. for 80,43,165 is 1
LCM of denominators i.e. for 78,85,757 is 5018910.
Thus, GCF of Fractions is 1/5018910.Finally, GCF of Fractions for 80/78, 43/85, 165/757 is 1/5018910.