Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/57,358/53,868/995
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 537,358,868
Greatest Common Factor of Numerators i.e. GCF of 537,358,868 is 1 .
LCM of Denominators means LCM of 57,53,995 as per the given fractions.
LCM of 57,53,995 is 3005895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 537,358,868
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 537,358,868 . The biggest common factor number is the GCF number.
So the greatest common factor 537,358,868 is 1.
Lets's calculate LCM of 57,53,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 3005895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3005895
Therefore, the GCF of Fractions 537/57,358/53,868/995 is 1/3005895
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 57,53,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,53,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,53,995) x common factors =1 x 1 = 1
LCM(57,53,995) = ( 57 × 53 × 995 ) / 1
LCM(57,53,995) = 3005895 / 1
LCM(57,53,995) = 3005895
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 537/57, 358/53, 868/995?
Answer: GCF of Numerators as per given numbers 537/57, 358/53, 868/995 is
GCF of Numerators i.e. for 537,358,868 is 1
LCM of denominators i.e. for 57,53,995 is 3005895.
Thus, GCF of Fractions is 1/3005895.Finally, GCF of Fractions for 537/57, 358/53, 868/995 is 1/3005895.