Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2599/347,9054/2785
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 2599,9054
Greatest Common Factor of Numerators i.e. GCF of 2599,9054 is 1 .
LCM of Denominators means LCM of 347,2785 as per the given fractions.
LCM of 347,2785 is 966395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2599,9054
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2599
List of positive integer factors of 2599 that divides 2599 without a remainder.
1,23,113,2599
Factors of 9054
List of positive integer factors of 9054 that divides 9054 without a remainder.
1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors 2599,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 2599,9054 is 1.
Lets's calculate LCM of 347,2785
Given numbers has no common factors except 1. So, there LCM is their product i.e 966395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966395
Therefore, the GCF of Fractions 2599/347,9054/2785 is 1/966395
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 347,2785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,2785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,2785) x common factors =1 x 1 = 1
LCM(347,2785) = ( 347 × 2785 ) / 1
LCM(347,2785) = 966395 / 1
LCM(347,2785) = 966395
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 2599/347, 9054/2785?
Answer: GCF of Numerators as per given numbers 2599/347, 9054/2785 is
GCF of Numerators i.e. for 2599,9054 is 1
LCM of denominators i.e. for 347,2785 is 966395.
Thus, GCF of Fractions is 1/966395.Finally, GCF of Fractions for 2599/347, 9054/2785 is 1/966395.