Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 760/72,285/9235
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 760,285
Greatest Common Factor of Numerators i.e. GCF of 760,285 is 95 .
LCM of Denominators means LCM of 72,9235 as per the given fractions.
LCM of 72,9235 is 664920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 760,285
5 | 760, 285 |
19 | 152, 57 |
8, 3 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 760,285 . The biggest common factor number is the GCF number.
So the greatest common factor 760,285 is 95.
Lets's calculate LCM of 72,9235
Given numbers has no common factors except 1. So, there LCM is their product i.e 664920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/664920
Therefore, the GCF of Fractions 760/72,285/9235 is 95/664920
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 72,9235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,9235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,9235) x common factors =1 x 1 = 1
LCM(72,9235) = ( 72 × 9235 ) / 1
LCM(72,9235) = 664920 / 1
LCM(72,9235) = 664920
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 760/72, 285/9235?
Answer: GCF of Numerators as per given numbers 760/72, 285/9235 is
GCF of Numerators i.e. for 760,285 is 95
LCM of denominators i.e. for 72,9235 is 664920.
Thus, GCF of Fractions is 95/664920.Finally, GCF of Fractions for 760/72, 285/9235 is 95/664920.