Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1163/15,1676/892
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 1163,1676
Greatest Common Factor of Numerators i.e. GCF of 1163,1676 is 1 .
LCM of Denominators means LCM of 15,892 as per the given fractions.
LCM of 15,892 is 13380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1163,1676
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1163
List of positive integer factors of 1163 that divides 1163 without a remainder.
1,1163
Factors of 1676
List of positive integer factors of 1676 that divides 1676 without a remainder.
1,2,4,419,838,1676
Greatest Common Factor
We found the factors 1163,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 1163,1676 is 1.
Lets's calculate LCM of 15,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 13380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13380
Therefore, the GCF of Fractions 1163/15,1676/892 is 1/13380
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 15,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,892) x common factors =1 x 1 = 1
LCM(15,892) = ( 15 × 892 ) / 1
LCM(15,892) = 13380 / 1
LCM(15,892) = 13380
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 1163/15, 1676/892?
Answer: GCF of Numerators as per given numbers 1163/15, 1676/892 is
GCF of Numerators i.e. for 1163,1676 is 1
LCM of denominators i.e. for 15,892 is 13380.
Thus, GCF of Fractions is 1/13380.Finally, GCF of Fractions for 1163/15, 1676/892 is 1/13380.