Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1356/52,8191/735
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 1356,8191
Greatest Common Factor of Numerators i.e. GCF of 1356,8191 is 1 .
LCM of Denominators means LCM of 52,735 as per the given fractions.
LCM of 52,735 is 38220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1356,8191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1356
List of positive integer factors of 1356 that divides 1356 without a remainder.
1,2,3,4,6,12,113,226,339,452,678,1356
Factors of 8191
List of positive integer factors of 8191 that divides 8191 without a remainder.
1,8191
Greatest Common Factor
We found the factors 1356,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,8191 is 1.
Lets's calculate LCM of 52,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 38220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38220
Therefore, the GCF of Fractions 1356/52,8191/735 is 1/38220
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 52,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,735) x common factors =1 x 1 = 1
LCM(52,735) = ( 52 × 735 ) / 1
LCM(52,735) = 38220 / 1
LCM(52,735) = 38220
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 1356/52, 8191/735?
Answer: GCF of Numerators as per given numbers 1356/52, 8191/735 is
GCF of Numerators i.e. for 1356,8191 is 1
LCM of denominators i.e. for 52,735 is 38220.
Thus, GCF of Fractions is 1/38220.Finally, GCF of Fractions for 1356/52, 8191/735 is 1/38220.