Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5265/803,1028/668
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 5265,1028
Greatest Common Factor of Numerators i.e. GCF of 5265,1028 is 1 .
LCM of Denominators means LCM of 803,668 as per the given fractions.
LCM of 803,668 is 536404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5265,1028
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5265
List of positive integer factors of 5265 that divides 5265 without a remainder.
1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Factors of 1028
List of positive integer factors of 1028 that divides 1028 without a remainder.
1,2,4,257,514,1028
Greatest Common Factor
We found the factors 5265,1028 . The biggest common factor number is the GCF number.
So the greatest common factor 5265,1028 is 1.
Lets's calculate LCM of 803,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 536404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/536404
Therefore, the GCF of Fractions 5265/803,1028/668 is 1/536404
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 803,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,668) x common factors =1 x 1 = 1
LCM(803,668) = ( 803 × 668 ) / 1
LCM(803,668) = 536404 / 1
LCM(803,668) = 536404
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 5265/803, 1028/668?
Answer: GCF of Numerators as per given numbers 5265/803, 1028/668 is
GCF of Numerators i.e. for 5265,1028 is 1
LCM of denominators i.e. for 803,668 is 536404.
Thus, GCF of Fractions is 1/536404.Finally, GCF of Fractions for 5265/803, 1028/668 is 1/536404.