Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3937/997,2869/5995
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 3937,2869
Greatest Common Factor of Numerators i.e. GCF of 3937,2869 is 1 .
LCM of Denominators means LCM of 997,5995 as per the given fractions.
LCM of 997,5995 is 5977015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3937,2869
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3937
List of positive integer factors of 3937 that divides 3937 without a remainder.
1,31,127,3937
Factors of 2869
List of positive integer factors of 2869 that divides 2869 without a remainder.
1,19,151,2869
Greatest Common Factor
We found the factors 3937,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 3937,2869 is 1.
Lets's calculate LCM of 997,5995
Given numbers has no common factors except 1. So, there LCM is their product i.e 5977015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5977015
Therefore, the GCF of Fractions 3937/997,2869/5995 is 1/5977015
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 997,5995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,5995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,5995) x common factors =1 x 1 = 1
LCM(997,5995) = ( 997 × 5995 ) / 1
LCM(997,5995) = 5977015 / 1
LCM(997,5995) = 5977015
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 3937/997, 2869/5995?
Answer: GCF of Numerators as per given numbers 3937/997, 2869/5995 is
GCF of Numerators i.e. for 3937,2869 is 1
LCM of denominators i.e. for 997,5995 is 5977015.
Thus, GCF of Fractions is 1/5977015.Finally, GCF of Fractions for 3937/997, 2869/5995 is 1/5977015.