Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/23,643/2694
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 176,643
Greatest Common Factor of Numerators i.e. GCF of 176,643 is 1 .
LCM of Denominators means LCM of 23,2694 as per the given fractions.
LCM of 23,2694 is 61962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 176,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 176,643 . The biggest common factor number is the GCF number.
So the greatest common factor 176,643 is 1.
Lets's calculate LCM of 23,2694
Given numbers has no common factors except 1. So, there LCM is their product i.e 61962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61962
Therefore, the GCF of Fractions 176/23,643/2694 is 1/61962
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 23,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,2694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,2694) x common factors =1 x 1 = 1
LCM(23,2694) = ( 23 × 2694 ) / 1
LCM(23,2694) = 61962 / 1
LCM(23,2694) = 61962
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 176/23, 643/2694?
Answer: GCF of Numerators as per given numbers 176/23, 643/2694 is
GCF of Numerators i.e. for 176,643 is 1
LCM of denominators i.e. for 23,2694 is 61962.
Thus, GCF of Fractions is 1/61962.Finally, GCF of Fractions for 176/23, 643/2694 is 1/61962.