Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 153/11,854/2934
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 153,854
Greatest Common Factor of Numerators i.e. GCF of 153,854 is 1 .
LCM of Denominators means LCM of 11,2934 as per the given fractions.
LCM of 11,2934 is 32274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 153,854
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 153,854 . The biggest common factor number is the GCF number.
So the greatest common factor 153,854 is 1.
Lets's calculate LCM of 11,2934
Given numbers has no common factors except 1. So, there LCM is their product i.e 32274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32274
Therefore, the GCF of Fractions 153/11,854/2934 is 1/32274
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 11,2934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,2934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,2934) x common factors =1 x 1 = 1
LCM(11,2934) = ( 11 × 2934 ) / 1
LCM(11,2934) = 32274 / 1
LCM(11,2934) = 32274
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 153/11, 854/2934?
Answer: GCF of Numerators as per given numbers 153/11, 854/2934 is
GCF of Numerators i.e. for 153,854 is 1
LCM of denominators i.e. for 11,2934 is 32274.
Thus, GCF of Fractions is 1/32274.Finally, GCF of Fractions for 153/11, 854/2934 is 1/32274.