Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5669/476,3738/9043
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 5669,3738
Greatest Common Factor of Numerators i.e. GCF of 5669,3738 is 1 .
LCM of Denominators means LCM of 476,9043 as per the given fractions.
LCM of 476,9043 is 4304468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5669,3738
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5669
List of positive integer factors of 5669 that divides 5669 without a remainder.
1,5669
Factors of 3738
List of positive integer factors of 3738 that divides 3738 without a remainder.
1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 5669,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 5669,3738 is 1.
Lets's calculate LCM of 476,9043
Given numbers has no common factors except 1. So, there LCM is their product i.e 4304468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4304468
Therefore, the GCF of Fractions 5669/476,3738/9043 is 1/4304468
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 476,9043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,9043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,9043) x common factors =1 x 1 = 1
LCM(476,9043) = ( 476 × 9043 ) / 1
LCM(476,9043) = 4304468 / 1
LCM(476,9043) = 4304468
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 5669/476, 3738/9043?
Answer: GCF of Numerators as per given numbers 5669/476, 3738/9043 is
GCF of Numerators i.e. for 5669,3738 is 1
LCM of denominators i.e. for 476,9043 is 4304468.
Thus, GCF of Fractions is 1/4304468.Finally, GCF of Fractions for 5669/476, 3738/9043 is 1/4304468.