Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/317,9150/1162
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 80,9150
Greatest Common Factor of Numerators i.e. GCF of 80,9150 is 10 .
LCM of Denominators means LCM of 317,1162 as per the given fractions.
LCM of 317,1162 is 368354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,9150
2 | 80, 9150 |
5 | 40, 4575 |
8, 915 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 9150
List of positive integer factors of 9150 that divides 9150 without a remainder.
1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150
Greatest Common Factor
We found the factors 80,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9150 is 10.
Lets's calculate LCM of 317,1162
Given numbers has no common factors except 1. So, there LCM is their product i.e 368354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/368354
Therefore, the GCF of Fractions 80/317,9150/1162 is 10/368354
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 317,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,1162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,1162) x common factors =1 x 1 = 1
LCM(317,1162) = ( 317 × 1162 ) / 1
LCM(317,1162) = 368354 / 1
LCM(317,1162) = 368354
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 80/317, 9150/1162?
Answer: GCF of Numerators as per given numbers 80/317, 9150/1162 is
GCF of Numerators i.e. for 80,9150 is 10
LCM of denominators i.e. for 317,1162 is 368354.
Thus, GCF of Fractions is 10/368354.Finally, GCF of Fractions for 80/317, 9150/1162 is 10/368354.