Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/224,609/797
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 464,609
Greatest Common Factor of Numerators i.e. GCF of 464,609 is 29 .
LCM of Denominators means LCM of 224,797 as per the given fractions.
LCM of 224,797 is 178528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,609
29 | 464, 609 |
16, 21 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 464,609 . The biggest common factor number is the GCF number.
So the greatest common factor 464,609 is 29.
Lets's calculate LCM of 224,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 178528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/178528
Therefore, the GCF of Fractions 464/224,609/797 is 29/178528
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 224,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,797) x common factors =1 x 1 = 1
LCM(224,797) = ( 224 × 797 ) / 1
LCM(224,797) = 178528 / 1
LCM(224,797) = 178528
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 464/224, 609/797?
Answer: GCF of Numerators as per given numbers 464/224, 609/797 is
GCF of Numerators i.e. for 464,609 is 29
LCM of denominators i.e. for 224,797 is 178528.
Thus, GCF of Fractions is 29/178528.Finally, GCF of Fractions for 464/224, 609/797 is 29/178528.