Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/612,468/569
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 63,468
Greatest Common Factor of Numerators i.e. GCF of 63,468 is 9 .
LCM of Denominators means LCM of 612,569 as per the given fractions.
LCM of 612,569 is 348228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,468
3 | 63, 468 |
3 | 21, 156 |
7, 52 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 63,468 . The biggest common factor number is the GCF number.
So the greatest common factor 63,468 is 9.
Lets's calculate LCM of 612,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 348228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/348228
Therefore, the GCF of Fractions 63/612,468/569 is 9/348228
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 612,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,569) x common factors =1 x 1 = 1
LCM(612,569) = ( 612 × 569 ) / 1
LCM(612,569) = 348228 / 1
LCM(612,569) = 348228
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 63/612, 468/569?
Answer: GCF of Numerators as per given numbers 63/612, 468/569 is
GCF of Numerators i.e. for 63,468 is 9
LCM of denominators i.e. for 612,569 is 348228.
Thus, GCF of Fractions is 9/348228.Finally, GCF of Fractions for 63/612, 468/569 is 9/348228.