Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 144/623,4435/638
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 144,4435
Greatest Common Factor of Numerators i.e. GCF of 144,4435 is 1 .
LCM of Denominators means LCM of 623,638 as per the given fractions.
LCM of 623,638 is 397474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 144,4435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 4435
List of positive integer factors of 4435 that divides 4435 without a remainder.
1,5,887,4435
Greatest Common Factor
We found the factors 144,4435 . The biggest common factor number is the GCF number.
So the greatest common factor 144,4435 is 1.
Lets's calculate LCM of 623,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 397474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397474
Therefore, the GCF of Fractions 144/623,4435/638 is 1/397474
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 623,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,638) x common factors =1 x 1 = 1
LCM(623,638) = ( 623 × 638 ) / 1
LCM(623,638) = 397474 / 1
LCM(623,638) = 397474
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 144/623, 4435/638?
Answer: GCF of Numerators as per given numbers 144/623, 4435/638 is
GCF of Numerators i.e. for 144,4435 is 1
LCM of denominators i.e. for 623,638 is 397474.
Thus, GCF of Fractions is 1/397474.Finally, GCF of Fractions for 144/623, 4435/638 is 1/397474.