Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/66,1524/564
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 673,1524
Greatest Common Factor of Numerators i.e. GCF of 673,1524 is 1 .
LCM of Denominators means LCM of 66,564 as per the given fractions.
LCM of 66,564 is 6204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,1524
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 1524
List of positive integer factors of 1524 that divides 1524 without a remainder.
1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 673,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 673,1524 is 1.
Lets's calculate LCM of 66,564
2 | 66, 564 |
3 | 33, 282 |
11, 94 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 94 = 6204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6204
Therefore, the GCF of Fractions 673/66,1524/564 is 1/6204
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 66,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,564) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(66,564) x common factors =6 x 1 = 6
LCM(66,564) = ( 66 × 564 ) / 6
LCM(66,564) = 37224 / 6
LCM(66,564) = 6204
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 673/66, 1524/564?
Answer: GCF of Numerators as per given numbers 673/66, 1524/564 is
GCF of Numerators i.e. for 673,1524 is 1
LCM of denominators i.e. for 66,564 is 6204.
Thus, GCF of Fractions is 1/6204.Finally, GCF of Fractions for 673/66, 1524/564 is 1/6204.