Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8242/772,9878/549
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 8242,9878
Greatest Common Factor of Numerators i.e. GCF of 8242,9878 is 2 .
LCM of Denominators means LCM of 772,549 as per the given fractions.
LCM of 772,549 is 423828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8242,9878
2 | 8242, 9878 |
4121, 4939 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8242
List of positive integer factors of 8242 that divides 8242 without a remainder.
1,2,13,26,317,634,4121,8242
Factors of 9878
List of positive integer factors of 9878 that divides 9878 without a remainder.
1,2,11,22,449,898,4939,9878
Greatest Common Factor
We found the factors 8242,9878 . The biggest common factor number is the GCF number.
So the greatest common factor 8242,9878 is 2.
Lets's calculate LCM of 772,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 423828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423828
Therefore, the GCF of Fractions 8242/772,9878/549 is 2/423828
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 772,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,549) x common factors =1 x 1 = 1
LCM(772,549) = ( 772 × 549 ) / 1
LCM(772,549) = 423828 / 1
LCM(772,549) = 423828
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 8242/772, 9878/549?
Answer: GCF of Numerators as per given numbers 8242/772, 9878/549 is
GCF of Numerators i.e. for 8242,9878 is 2
LCM of denominators i.e. for 772,549 is 423828.
Thus, GCF of Fractions is 2/423828.Finally, GCF of Fractions for 8242/772, 9878/549 is 2/423828.