Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6549/72,8471/564
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 6549,8471
Greatest Common Factor of Numerators i.e. GCF of 6549,8471 is 1 .
LCM of Denominators means LCM of 72,564 as per the given fractions.
LCM of 72,564 is 3384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6549,8471
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6549
List of positive integer factors of 6549 that divides 6549 without a remainder.
1,3,37,59,111,177,2183,6549
Factors of 8471
List of positive integer factors of 8471 that divides 8471 without a remainder.
1,43,197,8471
Greatest Common Factor
We found the factors 6549,8471 . The biggest common factor number is the GCF number.
So the greatest common factor 6549,8471 is 1.
Lets's calculate LCM of 72,564
2 | 72, 564 |
2 | 36, 282 |
3 | 18, 141 |
6, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 47 = 3384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3384
Therefore, the GCF of Fractions 6549/72,8471/564 is 1/3384
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 72,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,564) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(72,564) x common factors =12 x 1 = 12
LCM(72,564) = ( 72 × 564 ) / 12
LCM(72,564) = 40608 / 12
LCM(72,564) = 3384
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 6549/72, 8471/564?
Answer: GCF of Numerators as per given numbers 6549/72, 8471/564 is
GCF of Numerators i.e. for 6549,8471 is 1
LCM of denominators i.e. for 72,564 is 3384.
Thus, GCF of Fractions is 1/3384.Finally, GCF of Fractions for 6549/72, 8471/564 is 1/3384.