Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/513,8022/877
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 220,8022
Greatest Common Factor of Numerators i.e. GCF of 220,8022 is 2 .
LCM of Denominators means LCM of 513,877 as per the given fractions.
LCM of 513,877 is 449901 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 220,8022
2 | 220, 8022 |
110, 4011 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 8022
List of positive integer factors of 8022 that divides 8022 without a remainder.
1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Greatest Common Factor
We found the factors 220,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 220,8022 is 2.
Lets's calculate LCM of 513,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 449901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449901
Therefore, the GCF of Fractions 220/513,8022/877 is 2/449901
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 513,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,877) x common factors =1 x 1 = 1
LCM(513,877) = ( 513 × 877 ) / 1
LCM(513,877) = 449901 / 1
LCM(513,877) = 449901
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 220/513, 8022/877?
Answer: GCF of Numerators as per given numbers 220/513, 8022/877 is
GCF of Numerators i.e. for 220,8022 is 2
LCM of denominators i.e. for 513,877 is 449901.
Thus, GCF of Fractions is 2/449901.Finally, GCF of Fractions for 220/513, 8022/877 is 2/449901.