Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6995/457,4048/472
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 6995,4048
Greatest Common Factor of Numerators i.e. GCF of 6995,4048 is 1 .
LCM of Denominators means LCM of 457,472 as per the given fractions.
LCM of 457,472 is 215704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6995,4048
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6995
List of positive integer factors of 6995 that divides 6995 without a remainder.
1,5,1399,6995
Factors of 4048
List of positive integer factors of 4048 that divides 4048 without a remainder.
1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Greatest Common Factor
We found the factors 6995,4048 . The biggest common factor number is the GCF number.
So the greatest common factor 6995,4048 is 1.
Lets's calculate LCM of 457,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 215704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215704
Therefore, the GCF of Fractions 6995/457,4048/472 is 1/215704
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 457,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,472) x common factors =1 x 1 = 1
LCM(457,472) = ( 457 × 472 ) / 1
LCM(457,472) = 215704 / 1
LCM(457,472) = 215704
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 6995/457, 4048/472?
Answer: GCF of Numerators as per given numbers 6995/457, 4048/472 is
GCF of Numerators i.e. for 6995,4048 is 1
LCM of denominators i.e. for 457,472 is 215704.
Thus, GCF of Fractions is 1/215704.Finally, GCF of Fractions for 6995/457, 4048/472 is 1/215704.