Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4495/20,4662/591
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 4495,4662
Greatest Common Factor of Numerators i.e. GCF of 4495,4662 is 1 .
LCM of Denominators means LCM of 20,591 as per the given fractions.
LCM of 20,591 is 11820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4495,4662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4495
List of positive integer factors of 4495 that divides 4495 without a remainder.
1,5,29,31,145,155,899,4495
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 4495,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 4495,4662 is 1.
Lets's calculate LCM of 20,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 11820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11820
Therefore, the GCF of Fractions 4495/20,4662/591 is 1/11820
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 20,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,591) x common factors =1 x 1 = 1
LCM(20,591) = ( 20 × 591 ) / 1
LCM(20,591) = 11820 / 1
LCM(20,591) = 11820
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 4495/20, 4662/591?
Answer: GCF of Numerators as per given numbers 4495/20, 4662/591 is
GCF of Numerators i.e. for 4495,4662 is 1
LCM of denominators i.e. for 20,591 is 11820.
Thus, GCF of Fractions is 1/11820.Finally, GCF of Fractions for 4495/20, 4662/591 is 1/11820.