Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/82,705/5421
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 663,705
Greatest Common Factor of Numerators i.e. GCF of 663,705 is 3 .
LCM of Denominators means LCM of 82,5421 as per the given fractions.
LCM of 82,5421 is 444522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,705
3 | 663, 705 |
221, 235 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 663,705 . The biggest common factor number is the GCF number.
So the greatest common factor 663,705 is 3.
Lets's calculate LCM of 82,5421
Given numbers has no common factors except 1. So, there LCM is their product i.e 444522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/444522
Therefore, the GCF of Fractions 663/82,705/5421 is 3/444522
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 82,5421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,5421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,5421) x common factors =1 x 1 = 1
LCM(82,5421) = ( 82 × 5421 ) / 1
LCM(82,5421) = 444522 / 1
LCM(82,5421) = 444522
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 663/82, 705/5421?
Answer: GCF of Numerators as per given numbers 663/82, 705/5421 is
GCF of Numerators i.e. for 663,705 is 3
LCM of denominators i.e. for 82,5421 is 444522.
Thus, GCF of Fractions is 3/444522.Finally, GCF of Fractions for 663/82, 705/5421 is 3/444522.