Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/642,451/467
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 506,451
Greatest Common Factor of Numerators i.e. GCF of 506,451 is 11 .
LCM of Denominators means LCM of 642,467 as per the given fractions.
LCM of 642,467 is 299814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,451
11 | 506, 451 |
46, 41 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 506,451 . The biggest common factor number is the GCF number.
So the greatest common factor 506,451 is 11.
Lets's calculate LCM of 642,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 299814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/299814
Therefore, the GCF of Fractions 506/642,451/467 is 11/299814
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 642,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,467) x common factors =1 x 1 = 1
LCM(642,467) = ( 642 × 467 ) / 1
LCM(642,467) = 299814 / 1
LCM(642,467) = 299814
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 506/642, 451/467?
Answer: GCF of Numerators as per given numbers 506/642, 451/467 is
GCF of Numerators i.e. for 506,451 is 11
LCM of denominators i.e. for 642,467 is 299814.
Thus, GCF of Fractions is 11/299814.Finally, GCF of Fractions for 506/642, 451/467 is 11/299814.