Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8822/589,2464/1431
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 8822,2464
Greatest Common Factor of Numerators i.e. GCF of 8822,2464 is 22 .
LCM of Denominators means LCM of 589,1431 as per the given fractions.
LCM of 589,1431 is 842859 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8822,2464
2 | 8822, 2464 |
11 | 4411, 1232 |
401, 112 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 8822
List of positive integer factors of 8822 that divides 8822 without a remainder.
1,2,11,22,401,802,4411,8822
Factors of 2464
List of positive integer factors of 2464 that divides 2464 without a remainder.
1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464
Greatest Common Factor
We found the factors 8822,2464 . The biggest common factor number is the GCF number.
So the greatest common factor 8822,2464 is 22.
Lets's calculate LCM of 589,1431
Given numbers has no common factors except 1. So, there LCM is their product i.e 842859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/842859
Therefore, the GCF of Fractions 8822/589,2464/1431 is 22/842859
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 589,1431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,1431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,1431) x common factors =1 x 1 = 1
LCM(589,1431) = ( 589 × 1431 ) / 1
LCM(589,1431) = 842859 / 1
LCM(589,1431) = 842859
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 8822/589, 2464/1431?
Answer: GCF of Numerators as per given numbers 8822/589, 2464/1431 is
GCF of Numerators i.e. for 8822,2464 is 22
LCM of denominators i.e. for 589,1431 is 842859.
Thus, GCF of Fractions is 22/842859.Finally, GCF of Fractions for 8822/589, 2464/1431 is 22/842859.