Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/79,171/65,937/957
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 297,171,937
Greatest Common Factor of Numerators i.e. GCF of 297,171,937 is 1 .
LCM of Denominators means LCM of 79,65,957 as per the given fractions.
LCM of 79,65,957 is 4914195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,171,937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Greatest Common Factor
We found the factors 297,171,937 . The biggest common factor number is the GCF number.
So the greatest common factor 297,171,937 is 1.
Lets's calculate LCM of 79,65,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 4914195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4914195
Therefore, the GCF of Fractions 297/79,171/65,937/957 is 1/4914195
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 79,65,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,65,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,65,957) x common factors =1 x 1 = 1
LCM(79,65,957) = ( 79 × 65 × 957 ) / 1
LCM(79,65,957) = 4914195 / 1
LCM(79,65,957) = 4914195
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 297/79, 171/65, 937/957?
Answer: GCF of Numerators as per given numbers 297/79, 171/65, 937/957 is
GCF of Numerators i.e. for 297,171,937 is 1
LCM of denominators i.e. for 79,65,957 is 4914195.
Thus, GCF of Fractions is 1/4914195.Finally, GCF of Fractions for 297/79, 171/65, 937/957 is 1/4914195.