Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7106/749,8787/2287
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 7106,8787
Greatest Common Factor of Numerators i.e. GCF of 7106,8787 is 1 .
LCM of Denominators means LCM of 749,2287 as per the given fractions.
LCM of 749,2287 is 1712963 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7106,8787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7106
List of positive integer factors of 7106 that divides 7106 without a remainder.
1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1,3,29,87,101,303,2929,8787
Greatest Common Factor
We found the factors 7106,8787 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,8787 is 1.
Lets's calculate LCM of 749,2287
Given numbers has no common factors except 1. So, there LCM is their product i.e 1712963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1712963
Therefore, the GCF of Fractions 7106/749,8787/2287 is 1/1712963
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 749,2287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,2287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,2287) x common factors =1 x 1 = 1
LCM(749,2287) = ( 749 × 2287 ) / 1
LCM(749,2287) = 1712963 / 1
LCM(749,2287) = 1712963
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 7106/749, 8787/2287?
Answer: GCF of Numerators as per given numbers 7106/749, 8787/2287 is
GCF of Numerators i.e. for 7106,8787 is 1
LCM of denominators i.e. for 749,2287 is 1712963.
Thus, GCF of Fractions is 1/1712963.Finally, GCF of Fractions for 7106/749, 8787/2287 is 1/1712963.