Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/112,8217/403
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 542,8217
Greatest Common Factor of Numerators i.e. GCF of 542,8217 is 1 .
LCM of Denominators means LCM of 112,403 as per the given fractions.
LCM of 112,403 is 45136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 542,8217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 8217
List of positive integer factors of 8217 that divides 8217 without a remainder.
1,3,9,11,33,83,99,249,747,913,2739,8217
Greatest Common Factor
We found the factors 542,8217 . The biggest common factor number is the GCF number.
So the greatest common factor 542,8217 is 1.
Lets's calculate LCM of 112,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 45136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45136
Therefore, the GCF of Fractions 542/112,8217/403 is 1/45136
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 112,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,403) x common factors =1 x 1 = 1
LCM(112,403) = ( 112 × 403 ) / 1
LCM(112,403) = 45136 / 1
LCM(112,403) = 45136
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 542/112, 8217/403?
Answer: GCF of Numerators as per given numbers 542/112, 8217/403 is
GCF of Numerators i.e. for 542,8217 is 1
LCM of denominators i.e. for 112,403 is 45136.
Thus, GCF of Fractions is 1/45136.Finally, GCF of Fractions for 542/112, 8217/403 is 1/45136.