Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4451/44,5479/803
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 4451,5479
Greatest Common Factor of Numerators i.e. GCF of 4451,5479 is 1 .
LCM of Denominators means LCM of 44,803 as per the given fractions.
LCM of 44,803 is 3212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4451,5479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4451
List of positive integer factors of 4451 that divides 4451 without a remainder.
1,4451
Factors of 5479
List of positive integer factors of 5479 that divides 5479 without a remainder.
1,5479
Greatest Common Factor
We found the factors 4451,5479 . The biggest common factor number is the GCF number.
So the greatest common factor 4451,5479 is 1.
Lets's calculate LCM of 44,803
11 | 44, 803 |
4, 73 |
∴ So the LCM of the given numbers is 11 x 4 x 73 = 3212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3212
Therefore, the GCF of Fractions 4451/44,5479/803 is 1/3212
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 44,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,803) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(44,803) x common factors =11 x 1 = 11
LCM(44,803) = ( 44 × 803 ) / 11
LCM(44,803) = 35332 / 11
LCM(44,803) = 3212
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 4451/44, 5479/803?
Answer: GCF of Numerators as per given numbers 4451/44, 5479/803 is
GCF of Numerators i.e. for 4451,5479 is 1
LCM of denominators i.e. for 44,803 is 3212.
Thus, GCF of Fractions is 1/3212.Finally, GCF of Fractions for 4451/44, 5479/803 is 1/3212.