Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 750/488,450/821
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 750,450
Greatest Common Factor of Numerators i.e. GCF of 750,450 is 150 .
LCM of Denominators means LCM of 488,821 as per the given fractions.
LCM of 488,821 is 400648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 750,450
2 | 750, 450 |
3 | 375, 225 |
5 | 125, 75 |
5 | 25, 15 |
5, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 750,450 . The biggest common factor number is the GCF number.
So the greatest common factor 750,450 is 150.
Lets's calculate LCM of 488,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 400648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/400648
Therefore, the GCF of Fractions 750/488,450/821 is 150/400648
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 488,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,821) x common factors =1 x 1 = 1
LCM(488,821) = ( 488 × 821 ) / 1
LCM(488,821) = 400648 / 1
LCM(488,821) = 400648
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 750/488, 450/821?
Answer: GCF of Numerators as per given numbers 750/488, 450/821 is
GCF of Numerators i.e. for 750,450 is 150
LCM of denominators i.e. for 488,821 is 400648.
Thus, GCF of Fractions is 150/400648.Finally, GCF of Fractions for 750/488, 450/821 is 150/400648.