Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5634/464,8073/609
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 5634,8073
Greatest Common Factor of Numerators i.e. GCF of 5634,8073 is 9 .
LCM of Denominators means LCM of 464,609 as per the given fractions.
LCM of 464,609 is 9744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5634,8073
3 | 5634, 8073 |
3 | 1878, 2691 |
626, 897 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 5634
List of positive integer factors of 5634 that divides 5634 without a remainder.
1,2,3,6,9,18,313,626,939,1878,2817,5634
Factors of 8073
List of positive integer factors of 8073 that divides 8073 without a remainder.
1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 5634,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 5634,8073 is 9.
Lets's calculate LCM of 464,609
29 | 464, 609 |
16, 21 |
∴ So the LCM of the given numbers is 29 x 16 x 21 = 9744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9744
Therefore, the GCF of Fractions 5634/464,8073/609 is 9/9744
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 464,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,609) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(464,609) x common factors =29 x 1 = 29
LCM(464,609) = ( 464 × 609 ) / 29
LCM(464,609) = 282576 / 29
LCM(464,609) = 9744
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 5634/464, 8073/609?
Answer: GCF of Numerators as per given numbers 5634/464, 8073/609 is
GCF of Numerators i.e. for 5634,8073 is 9
LCM of denominators i.e. for 464,609 is 9744.
Thus, GCF of Fractions is 9/9744.Finally, GCF of Fractions for 5634/464, 8073/609 is 9/9744.