Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9067/599,5482/812
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 9067,5482
Greatest Common Factor of Numerators i.e. GCF of 9067,5482 is 1 .
LCM of Denominators means LCM of 599,812 as per the given fractions.
LCM of 599,812 is 486388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9067,5482
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9067
List of positive integer factors of 9067 that divides 9067 without a remainder.
1,9067
Factors of 5482
List of positive integer factors of 5482 that divides 5482 without a remainder.
1,2,2741,5482
Greatest Common Factor
We found the factors 9067,5482 . The biggest common factor number is the GCF number.
So the greatest common factor 9067,5482 is 1.
Lets's calculate LCM of 599,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 486388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486388
Therefore, the GCF of Fractions 9067/599,5482/812 is 1/486388
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 599,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,812) x common factors =1 x 1 = 1
LCM(599,812) = ( 599 × 812 ) / 1
LCM(599,812) = 486388 / 1
LCM(599,812) = 486388
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 9067/599, 5482/812?
Answer: GCF of Numerators as per given numbers 9067/599, 5482/812 is
GCF of Numerators i.e. for 9067,5482 is 1
LCM of denominators i.e. for 599,812 is 486388.
Thus, GCF of Fractions is 1/486388.Finally, GCF of Fractions for 9067/599, 5482/812 is 1/486388.