Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6080/15,9405/736
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 6080,9405
Greatest Common Factor of Numerators i.e. GCF of 6080,9405 is 95 .
LCM of Denominators means LCM of 15,736 as per the given fractions.
LCM of 15,736 is 11040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6080,9405
5 | 6080, 9405 |
19 | 1216, 1881 |
64, 99 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Factors of 6080
List of positive integer factors of 6080 that divides 6080 without a remainder.
1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Factors of 9405
List of positive integer factors of 9405 that divides 9405 without a remainder.
1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 6080,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 6080,9405 is 95.
Lets's calculate LCM of 15,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 11040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/11040
Therefore, the GCF of Fractions 6080/15,9405/736 is 95/11040
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 15,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,736) x common factors =1 x 1 = 1
LCM(15,736) = ( 15 × 736 ) / 1
LCM(15,736) = 11040 / 1
LCM(15,736) = 11040
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 6080/15, 9405/736?
Answer: GCF of Numerators as per given numbers 6080/15, 9405/736 is
GCF of Numerators i.e. for 6080,9405 is 95
LCM of denominators i.e. for 15,736 is 11040.
Thus, GCF of Fractions is 95/11040.Finally, GCF of Fractions for 6080/15, 9405/736 is 95/11040.