Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 823/208,1068/4004
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 823,1068
Greatest Common Factor of Numerators i.e. GCF of 823,1068 is 1 .
LCM of Denominators means LCM of 208,4004 as per the given fractions.
LCM of 208,4004 is 16016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 823,1068
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 1068
List of positive integer factors of 1068 that divides 1068 without a remainder.
1,2,3,4,6,12,89,178,267,356,534,1068
Greatest Common Factor
We found the factors 823,1068 . The biggest common factor number is the GCF number.
So the greatest common factor 823,1068 is 1.
Lets's calculate LCM of 208,4004
2 | 208, 4004 |
2 | 104, 2002 |
13 | 52, 1001 |
4, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 4 x 77 = 16016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16016
Therefore, the GCF of Fractions 823/208,1068/4004 is 1/16016
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 208,4004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,4004) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(208,4004) x common factors =52 x 1 = 52
LCM(208,4004) = ( 208 × 4004 ) / 52
LCM(208,4004) = 832832 / 52
LCM(208,4004) = 16016
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 823/208, 1068/4004?
Answer: GCF of Numerators as per given numbers 823/208, 1068/4004 is
GCF of Numerators i.e. for 823,1068 is 1
LCM of denominators i.e. for 208,4004 is 16016.
Thus, GCF of Fractions is 1/16016.Finally, GCF of Fractions for 823/208, 1068/4004 is 1/16016.