Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1619/79,5338/900
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 1619,5338
Greatest Common Factor of Numerators i.e. GCF of 1619,5338 is 1 .
LCM of Denominators means LCM of 79,900 as per the given fractions.
LCM of 79,900 is 71100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1619,5338
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1619
List of positive integer factors of 1619 that divides 1619 without a remainder.
1,1619
Factors of 5338
List of positive integer factors of 5338 that divides 5338 without a remainder.
1,2,17,34,157,314,2669,5338
Greatest Common Factor
We found the factors 1619,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 1619,5338 is 1.
Lets's calculate LCM of 79,900
Given numbers has no common factors except 1. So, there LCM is their product i.e 71100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71100
Therefore, the GCF of Fractions 1619/79,5338/900 is 1/71100
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 79,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,900) x common factors =1 x 1 = 1
LCM(79,900) = ( 79 × 900 ) / 1
LCM(79,900) = 71100 / 1
LCM(79,900) = 71100
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 1619/79, 5338/900?
Answer: GCF of Numerators as per given numbers 1619/79, 5338/900 is
GCF of Numerators i.e. for 1619,5338 is 1
LCM of denominators i.e. for 79,900 is 71100.
Thus, GCF of Fractions is 1/71100.Finally, GCF of Fractions for 1619/79, 5338/900 is 1/71100.