Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5465/33,8971/749
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 5465,8971
Greatest Common Factor of Numerators i.e. GCF of 5465,8971 is 1 .
LCM of Denominators means LCM of 33,749 as per the given fractions.
LCM of 33,749 is 24717 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5465,8971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5465
List of positive integer factors of 5465 that divides 5465 without a remainder.
1,5,1093,5465
Factors of 8971
List of positive integer factors of 8971 that divides 8971 without a remainder.
1,8971
Greatest Common Factor
We found the factors 5465,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 5465,8971 is 1.
Lets's calculate LCM of 33,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 24717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24717
Therefore, the GCF of Fractions 5465/33,8971/749 is 1/24717
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 33,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,749) x common factors =1 x 1 = 1
LCM(33,749) = ( 33 × 749 ) / 1
LCM(33,749) = 24717 / 1
LCM(33,749) = 24717
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 5465/33, 8971/749?
Answer: GCF of Numerators as per given numbers 5465/33, 8971/749 is
GCF of Numerators i.e. for 5465,8971 is 1
LCM of denominators i.e. for 33,749 is 24717.
Thus, GCF of Fractions is 1/24717.Finally, GCF of Fractions for 5465/33, 8971/749 is 1/24717.