Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2280/523,8505/3162
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 2280,8505
Greatest Common Factor of Numerators i.e. GCF of 2280,8505 is 15 .
LCM of Denominators means LCM of 523,3162 as per the given fractions.
LCM of 523,3162 is 1653726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2280,8505
3 | 2280, 8505 |
5 | 760, 2835 |
152, 567 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 2280
List of positive integer factors of 2280 that divides 2280 without a remainder.
1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Factors of 8505
List of positive integer factors of 8505 that divides 8505 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 2280,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 2280,8505 is 15.
Lets's calculate LCM of 523,3162
Given numbers has no common factors except 1. So, there LCM is their product i.e 1653726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1653726
Therefore, the GCF of Fractions 2280/523,8505/3162 is 15/1653726
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 523,3162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,3162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,3162) x common factors =1 x 1 = 1
LCM(523,3162) = ( 523 × 3162 ) / 1
LCM(523,3162) = 1653726 / 1
LCM(523,3162) = 1653726
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 2280/523, 8505/3162?
Answer: GCF of Numerators as per given numbers 2280/523, 8505/3162 is
GCF of Numerators i.e. for 2280,8505 is 15
LCM of denominators i.e. for 523,3162 is 1653726.
Thus, GCF of Fractions is 15/1653726.Finally, GCF of Fractions for 2280/523, 8505/3162 is 15/1653726.