Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3443/24,6957/664
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 3443,6957
Greatest Common Factor of Numerators i.e. GCF of 3443,6957 is 1 .
LCM of Denominators means LCM of 24,664 as per the given fractions.
LCM of 24,664 is 1992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3443,6957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3443
List of positive integer factors of 3443 that divides 3443 without a remainder.
1,11,313,3443
Factors of 6957
List of positive integer factors of 6957 that divides 6957 without a remainder.
1,3,9,773,2319,6957
Greatest Common Factor
We found the factors 3443,6957 . The biggest common factor number is the GCF number.
So the greatest common factor 3443,6957 is 1.
Lets's calculate LCM of 24,664
2 | 24, 664 |
2 | 12, 332 |
2 | 6, 166 |
3, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 83 = 1992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1992
Therefore, the GCF of Fractions 3443/24,6957/664 is 1/1992
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 24,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,664) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(24,664) x common factors =8 x 1 = 8
LCM(24,664) = ( 24 × 664 ) / 8
LCM(24,664) = 15936 / 8
LCM(24,664) = 1992
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 3443/24, 6957/664?
Answer: GCF of Numerators as per given numbers 3443/24, 6957/664 is
GCF of Numerators i.e. for 3443,6957 is 1
LCM of denominators i.e. for 24,664 is 1992.
Thus, GCF of Fractions is 1/1992.Finally, GCF of Fractions for 3443/24, 6957/664 is 1/1992.