Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/43,121/80,757/197
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 543,121,757
Greatest Common Factor of Numerators i.e. GCF of 543,121,757 is 1 .
LCM of Denominators means LCM of 43,80,197 as per the given fractions.
LCM of 43,80,197 is 677680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 543,121,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 543,121,757 . The biggest common factor number is the GCF number.
So the greatest common factor 543,121,757 is 1.
Lets's calculate LCM of 43,80,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 677680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677680
Therefore, the GCF of Fractions 543/43,121/80,757/197 is 1/677680
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 43,80,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,80,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,80,197) x common factors =1 x 1 = 1
LCM(43,80,197) = ( 43 × 80 × 197 ) / 1
LCM(43,80,197) = 677680 / 1
LCM(43,80,197) = 677680
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 543/43, 121/80, 757/197?
Answer: GCF of Numerators as per given numbers 543/43, 121/80, 757/197 is
GCF of Numerators i.e. for 543,121,757 is 1
LCM of denominators i.e. for 43,80,197 is 677680.
Thus, GCF of Fractions is 1/677680.Finally, GCF of Fractions for 543/43, 121/80, 757/197 is 1/677680.