Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7437/533,7162/7064
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 7437,7162
Greatest Common Factor of Numerators i.e. GCF of 7437,7162 is 1 .
LCM of Denominators means LCM of 533,7064 as per the given fractions.
LCM of 533,7064 is 3765112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7437,7162
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7437
List of positive integer factors of 7437 that divides 7437 without a remainder.
1,3,37,67,111,201,2479,7437
Factors of 7162
List of positive integer factors of 7162 that divides 7162 without a remainder.
1,2,3581,7162
Greatest Common Factor
We found the factors 7437,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 7437,7162 is 1.
Lets's calculate LCM of 533,7064
Given numbers has no common factors except 1. So, there LCM is their product i.e 3765112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3765112
Therefore, the GCF of Fractions 7437/533,7162/7064 is 1/3765112
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 533,7064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,7064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,7064) x common factors =1 x 1 = 1
LCM(533,7064) = ( 533 × 7064 ) / 1
LCM(533,7064) = 3765112 / 1
LCM(533,7064) = 3765112
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 7437/533, 7162/7064?
Answer: GCF of Numerators as per given numbers 7437/533, 7162/7064 is
GCF of Numerators i.e. for 7437,7162 is 1
LCM of denominators i.e. for 533,7064 is 3765112.
Thus, GCF of Fractions is 1/3765112.Finally, GCF of Fractions for 7437/533, 7162/7064 is 1/3765112.