Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2658/281,1553/7199
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 2658,1553
Greatest Common Factor of Numerators i.e. GCF of 2658,1553 is 1 .
LCM of Denominators means LCM of 281,7199 as per the given fractions.
LCM of 281,7199 is 2022919 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2658,1553
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2658
List of positive integer factors of 2658 that divides 2658 without a remainder.
1,2,3,6,443,886,1329,2658
Factors of 1553
List of positive integer factors of 1553 that divides 1553 without a remainder.
1,1553
Greatest Common Factor
We found the factors 2658,1553 . The biggest common factor number is the GCF number.
So the greatest common factor 2658,1553 is 1.
Lets's calculate LCM of 281,7199
Given numbers has no common factors except 1. So, there LCM is their product i.e 2022919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2022919
Therefore, the GCF of Fractions 2658/281,1553/7199 is 1/2022919
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 281,7199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,7199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,7199) x common factors =1 x 1 = 1
LCM(281,7199) = ( 281 × 7199 ) / 1
LCM(281,7199) = 2022919 / 1
LCM(281,7199) = 2022919
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 2658/281, 1553/7199?
Answer: GCF of Numerators as per given numbers 2658/281, 1553/7199 is
GCF of Numerators i.e. for 2658,1553 is 1
LCM of denominators i.e. for 281,7199 is 2022919.
Thus, GCF of Fractions is 1/2022919.Finally, GCF of Fractions for 2658/281, 1553/7199 is 1/2022919.