Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9639/24,6628/433
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 9639,6628
Greatest Common Factor of Numerators i.e. GCF of 9639,6628 is 1 .
LCM of Denominators means LCM of 24,433 as per the given fractions.
LCM of 24,433 is 10392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9639,6628
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9639
List of positive integer factors of 9639 that divides 9639 without a remainder.
1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Factors of 6628
List of positive integer factors of 6628 that divides 6628 without a remainder.
1,2,4,1657,3314,6628
Greatest Common Factor
We found the factors 9639,6628 . The biggest common factor number is the GCF number.
So the greatest common factor 9639,6628 is 1.
Lets's calculate LCM of 24,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 10392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10392
Therefore, the GCF of Fractions 9639/24,6628/433 is 1/10392
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 24,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,433) x common factors =1 x 1 = 1
LCM(24,433) = ( 24 × 433 ) / 1
LCM(24,433) = 10392 / 1
LCM(24,433) = 10392
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 9639/24, 6628/433?
Answer: GCF of Numerators as per given numbers 9639/24, 6628/433 is
GCF of Numerators i.e. for 9639,6628 is 1
LCM of denominators i.e. for 24,433 is 10392.
Thus, GCF of Fractions is 1/10392.Finally, GCF of Fractions for 9639/24, 6628/433 is 1/10392.