Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6235/793,8034/542
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 6235,8034
Greatest Common Factor of Numerators i.e. GCF of 6235,8034 is 1 .
LCM of Denominators means LCM of 793,542 as per the given fractions.
LCM of 793,542 is 429806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6235,8034
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6235
List of positive integer factors of 6235 that divides 6235 without a remainder.
1,5,29,43,145,215,1247,6235
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Greatest Common Factor
We found the factors 6235,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 6235,8034 is 1.
Lets's calculate LCM of 793,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 429806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429806
Therefore, the GCF of Fractions 6235/793,8034/542 is 1/429806
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 793,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,542) x common factors =1 x 1 = 1
LCM(793,542) = ( 793 × 542 ) / 1
LCM(793,542) = 429806 / 1
LCM(793,542) = 429806
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 6235/793, 8034/542?
Answer: GCF of Numerators as per given numbers 6235/793, 8034/542 is
GCF of Numerators i.e. for 6235,8034 is 1
LCM of denominators i.e. for 793,542 is 429806.
Thus, GCF of Fractions is 1/429806.Finally, GCF of Fractions for 6235/793, 8034/542 is 1/429806.