Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/43,750/9523
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 474,750
Greatest Common Factor of Numerators i.e. GCF of 474,750 is 6 .
LCM of Denominators means LCM of 43,9523 as per the given fractions.
LCM of 43,9523 is 409489 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 474,750
2 | 474, 750 |
3 | 237, 375 |
79, 125 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
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
Greatest Common Factor
We found the factors 474,750 . The biggest common factor number is the GCF number.
So the greatest common factor 474,750 is 6.
Lets's calculate LCM of 43,9523
Given numbers has no common factors except 1. So, there LCM is their product i.e 409489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/409489
Therefore, the GCF of Fractions 474/43,750/9523 is 6/409489
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 43,9523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,9523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,9523) x common factors =1 x 1 = 1
LCM(43,9523) = ( 43 × 9523 ) / 1
LCM(43,9523) = 409489 / 1
LCM(43,9523) = 409489
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 474/43, 750/9523?
Answer: GCF of Numerators as per given numbers 474/43, 750/9523 is
GCF of Numerators i.e. for 474,750 is 6
LCM of denominators i.e. for 43,9523 is 409489.
Thus, GCF of Fractions is 6/409489.Finally, GCF of Fractions for 474/43, 750/9523 is 6/409489.