Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4669/646,9236/467
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 4669,9236
Greatest Common Factor of Numerators i.e. GCF of 4669,9236 is 1 .
LCM of Denominators means LCM of 646,467 as per the given fractions.
LCM of 646,467 is 301682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4669,9236
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4669
List of positive integer factors of 4669 that divides 4669 without a remainder.
1,7,23,29,161,203,667,4669
Factors of 9236
List of positive integer factors of 9236 that divides 9236 without a remainder.
1,2,4,2309,4618,9236
Greatest Common Factor
We found the factors 4669,9236 . The biggest common factor number is the GCF number.
So the greatest common factor 4669,9236 is 1.
Lets's calculate LCM of 646,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 301682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301682
Therefore, the GCF of Fractions 4669/646,9236/467 is 1/301682
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 646,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,467) x common factors =1 x 1 = 1
LCM(646,467) = ( 646 × 467 ) / 1
LCM(646,467) = 301682 / 1
LCM(646,467) = 301682
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 4669/646, 9236/467?
Answer: GCF of Numerators as per given numbers 4669/646, 9236/467 is
GCF of Numerators i.e. for 4669,9236 is 1
LCM of denominators i.e. for 646,467 is 301682.
Thus, GCF of Fractions is 1/301682.Finally, GCF of Fractions for 4669/646, 9236/467 is 1/301682.