Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5632/833,4050/789
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 5632,4050
Greatest Common Factor of Numerators i.e. GCF of 5632,4050 is 2 .
LCM of Denominators means LCM of 833,789 as per the given fractions.
LCM of 833,789 is 657237 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5632,4050
2 | 5632, 4050 |
2816, 2025 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5632
List of positive integer factors of 5632 that divides 5632 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632
Factors of 4050
List of positive integer factors of 4050 that divides 4050 without a remainder.
1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050
Greatest Common Factor
We found the factors 5632,4050 . The biggest common factor number is the GCF number.
So the greatest common factor 5632,4050 is 2.
Lets's calculate LCM of 833,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 657237
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/657237
Therefore, the GCF of Fractions 5632/833,4050/789 is 2/657237
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 833,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,789) x common factors =1 x 1 = 1
LCM(833,789) = ( 833 × 789 ) / 1
LCM(833,789) = 657237 / 1
LCM(833,789) = 657237
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 5632/833, 4050/789?
Answer: GCF of Numerators as per given numbers 5632/833, 4050/789 is
GCF of Numerators i.e. for 5632,4050 is 2
LCM of denominators i.e. for 833,789 is 657237.
Thus, GCF of Fractions is 2/657237.Finally, GCF of Fractions for 5632/833, 4050/789 is 2/657237.