Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/87,377/55,251/727
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 40,377,251
Greatest Common Factor of Numerators i.e. GCF of 40,377,251 is 1 .
LCM of Denominators means LCM of 87,55,727 as per the given fractions.
LCM of 87,55,727 is 3478695 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,377,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Greatest Common Factor
We found the factors 40,377,251 . The biggest common factor number is the GCF number.
So the greatest common factor 40,377,251 is 1.
Lets's calculate LCM of 87,55,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 3478695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3478695
Therefore, the GCF of Fractions 40/87,377/55,251/727 is 1/3478695
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 87,55,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,55,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,55,727) x common factors =1 x 1 = 1
LCM(87,55,727) = ( 87 × 55 × 727 ) / 1
LCM(87,55,727) = 3478695 / 1
LCM(87,55,727) = 3478695
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 40/87, 377/55, 251/727?
Answer: GCF of Numerators as per given numbers 40/87, 377/55, 251/727 is
GCF of Numerators i.e. for 40,377,251 is 1
LCM of denominators i.e. for 87,55,727 is 3478695.
Thus, GCF of Fractions is 1/3478695.Finally, GCF of Fractions for 40/87, 377/55, 251/727 is 1/3478695.