Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2997/939,7760/508
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 2997,7760
Greatest Common Factor of Numerators i.e. GCF of 2997,7760 is 1 .
LCM of Denominators means LCM of 939,508 as per the given fractions.
LCM of 939,508 is 477012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2997,7760
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2997
List of positive integer factors of 2997 that divides 2997 without a remainder.
1,3,9,27,37,81,111,333,999,2997
Factors of 7760
List of positive integer factors of 7760 that divides 7760 without a remainder.
1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Greatest Common Factor
We found the factors 2997,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 2997,7760 is 1.
Lets's calculate LCM of 939,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 477012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477012
Therefore, the GCF of Fractions 2997/939,7760/508 is 1/477012
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 939,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,508) x common factors =1 x 1 = 1
LCM(939,508) = ( 939 × 508 ) / 1
LCM(939,508) = 477012 / 1
LCM(939,508) = 477012
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 2997/939, 7760/508?
Answer: GCF of Numerators as per given numbers 2997/939, 7760/508 is
GCF of Numerators i.e. for 2997,7760 is 1
LCM of denominators i.e. for 939,508 is 477012.
Thus, GCF of Fractions is 1/477012.Finally, GCF of Fractions for 2997/939, 7760/508 is 1/477012.