Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/71,363/23,414/287
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 671,363,414
Greatest Common Factor of Numerators i.e. GCF of 671,363,414 is 1 .
LCM of Denominators means LCM of 71,23,287 as per the given fractions.
LCM of 71,23,287 is 468671 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 671,363,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 671,363,414 . The biggest common factor number is the GCF number.
So the greatest common factor 671,363,414 is 1.
Lets's calculate LCM of 71,23,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 468671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468671
Therefore, the GCF of Fractions 671/71,363/23,414/287 is 1/468671
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 71,23,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,23,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,23,287) x common factors =1 x 1 = 1
LCM(71,23,287) = ( 71 × 23 × 287 ) / 1
LCM(71,23,287) = 468671 / 1
LCM(71,23,287) = 468671
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 671/71, 363/23, 414/287?
Answer: GCF of Numerators as per given numbers 671/71, 363/23, 414/287 is
GCF of Numerators i.e. for 671,363,414 is 1
LCM of denominators i.e. for 71,23,287 is 468671.
Thus, GCF of Fractions is 1/468671.Finally, GCF of Fractions for 671/71, 363/23, 414/287 is 1/468671.