Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2767/799,5630/4437
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 2767,5630
Greatest Common Factor of Numerators i.e. GCF of 2767,5630 is 1 .
LCM of Denominators means LCM of 799,4437 as per the given fractions.
LCM of 799,4437 is 208539 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2767,5630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2767
List of positive integer factors of 2767 that divides 2767 without a remainder.
1,2767
Factors of 5630
List of positive integer factors of 5630 that divides 5630 without a remainder.
1,2,5,10,563,1126,2815,5630
Greatest Common Factor
We found the factors 2767,5630 . The biggest common factor number is the GCF number.
So the greatest common factor 2767,5630 is 1.
Lets's calculate LCM of 799,4437
17 | 799, 4437 |
47, 261 |
∴ So the LCM of the given numbers is 17 x 47 x 261 = 208539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208539
Therefore, the GCF of Fractions 2767/799,5630/4437 is 1/208539
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 799,4437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,4437) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(799,4437) x common factors =17 x 1 = 17
LCM(799,4437) = ( 799 × 4437 ) / 17
LCM(799,4437) = 3545163 / 17
LCM(799,4437) = 208539
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 2767/799, 5630/4437?
Answer: GCF of Numerators as per given numbers 2767/799, 5630/4437 is
GCF of Numerators i.e. for 2767,5630 is 1
LCM of denominators i.e. for 799,4437 is 208539.
Thus, GCF of Fractions is 1/208539.Finally, GCF of Fractions for 2767/799, 5630/4437 is 1/208539.