Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5495/613,2176/1715
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 5495,2176
Greatest Common Factor of Numerators i.e. GCF of 5495,2176 is 1 .
LCM of Denominators means LCM of 613,1715 as per the given fractions.
LCM of 613,1715 is 1051295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5495,2176
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5495
List of positive integer factors of 5495 that divides 5495 without a remainder.
1,5,7,35,157,785,1099,5495
Factors of 2176
List of positive integer factors of 2176 that divides 2176 without a remainder.
1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Greatest Common Factor
We found the factors 5495,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 5495,2176 is 1.
Lets's calculate LCM of 613,1715
Given numbers has no common factors except 1. So, there LCM is their product i.e 1051295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1051295
Therefore, the GCF of Fractions 5495/613,2176/1715 is 1/1051295
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 613,1715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,1715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,1715) x common factors =1 x 1 = 1
LCM(613,1715) = ( 613 × 1715 ) / 1
LCM(613,1715) = 1051295 / 1
LCM(613,1715) = 1051295
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 5495/613, 2176/1715?
Answer: GCF of Numerators as per given numbers 5495/613, 2176/1715 is
GCF of Numerators i.e. for 5495,2176 is 1
LCM of denominators i.e. for 613,1715 is 1051295.
Thus, GCF of Fractions is 1/1051295.Finally, GCF of Fractions for 5495/613, 2176/1715 is 1/1051295.