Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/585,36/641,157/893
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 51,36,157
Greatest Common Factor of Numerators i.e. GCF of 51,36,157 is 1 .
LCM of Denominators means LCM of 585,641,893 as per the given fractions.
LCM of 585,641,893 is 334861605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,36,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 51,36,157 . The biggest common factor number is the GCF number.
So the greatest common factor 51,36,157 is 1.
Lets's calculate LCM of 585,641,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 334861605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334861605
Therefore, the GCF of Fractions 51/585,36/641,157/893 is 1/334861605
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 585,641,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,641,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,641,893) x common factors =1 x 1 = 1
LCM(585,641,893) = ( 585 × 641 × 893 ) / 1
LCM(585,641,893) = 334861605 / 1
LCM(585,641,893) = 334861605
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 51/585, 36/641, 157/893?
Answer: GCF of Numerators as per given numbers 51/585, 36/641, 157/893 is
GCF of Numerators i.e. for 51,36,157 is 1
LCM of denominators i.e. for 585,641,893 is 334861605.
Thus, GCF of Fractions is 1/334861605.Finally, GCF of Fractions for 51/585, 36/641, 157/893 is 1/334861605.