Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5028/84,1761/877
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 5028,1761
Greatest Common Factor of Numerators i.e. GCF of 5028,1761 is 3 .
LCM of Denominators means LCM of 84,877 as per the given fractions.
LCM of 84,877 is 73668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5028,1761
3 | 5028, 1761 |
1676, 587 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5028
List of positive integer factors of 5028 that divides 5028 without a remainder.
1,2,3,4,6,12,419,838,1257,1676,2514,5028
Factors of 1761
List of positive integer factors of 1761 that divides 1761 without a remainder.
1,3,587,1761
Greatest Common Factor
We found the factors 5028,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 5028,1761 is 3.
Lets's calculate LCM of 84,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 73668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73668
Therefore, the GCF of Fractions 5028/84,1761/877 is 3/73668
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 84,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,877) x common factors =1 x 1 = 1
LCM(84,877) = ( 84 × 877 ) / 1
LCM(84,877) = 73668 / 1
LCM(84,877) = 73668
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 5028/84, 1761/877?
Answer: GCF of Numerators as per given numbers 5028/84, 1761/877 is
GCF of Numerators i.e. for 5028,1761 is 3
LCM of denominators i.e. for 84,877 is 73668.
Thus, GCF of Fractions is 3/73668.Finally, GCF of Fractions for 5028/84, 1761/877 is 3/73668.