Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/71,463/701
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 368,463
Greatest Common Factor of Numerators i.e. GCF of 368,463 is 1 .
LCM of Denominators means LCM of 71,701 as per the given fractions.
LCM of 71,701 is 49771 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 368,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 368,463 . The biggest common factor number is the GCF number.
So the greatest common factor 368,463 is 1.
Lets's calculate LCM of 71,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 49771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49771
Therefore, the GCF of Fractions 368/71,463/701 is 1/49771
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 71,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,701) x common factors =1 x 1 = 1
LCM(71,701) = ( 71 × 701 ) / 1
LCM(71,701) = 49771 / 1
LCM(71,701) = 49771
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 368/71, 463/701?
Answer: GCF of Numerators as per given numbers 368/71, 463/701 is
GCF of Numerators i.e. for 368,463 is 1
LCM of denominators i.e. for 71,701 is 49771.
Thus, GCF of Fractions is 1/49771.Finally, GCF of Fractions for 368/71, 463/701 is 1/49771.