Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/720,825/683
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 80,825
Greatest Common Factor of Numerators i.e. GCF of 80,825 is 5 .
LCM of Denominators means LCM of 720,683 as per the given fractions.
LCM of 720,683 is 491760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,825
5 | 80, 825 |
16, 165 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 80,825 . The biggest common factor number is the GCF number.
So the greatest common factor 80,825 is 5.
Lets's calculate LCM of 720,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 491760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/491760
Therefore, the GCF of Fractions 80/720,825/683 is 5/491760
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 720,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(720,683) x common factors =1 x 1 = 1
LCM(720,683) = ( 720 × 683 ) / 1
LCM(720,683) = 491760 / 1
LCM(720,683) = 491760
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 80/720, 825/683?
Answer: GCF of Numerators as per given numbers 80/720, 825/683 is
GCF of Numerators i.e. for 80,825 is 5
LCM of denominators i.e. for 720,683 is 491760.
Thus, GCF of Fractions is 5/491760.Finally, GCF of Fractions for 80/720, 825/683 is 5/491760.