Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/638,435/784
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 420,435
Greatest Common Factor of Numerators i.e. GCF of 420,435 is 15 .
LCM of Denominators means LCM of 638,784 as per the given fractions.
LCM of 638,784 is 250096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,435
3 | 420, 435 |
5 | 140, 145 |
28, 29 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 420,435 . The biggest common factor number is the GCF number.
So the greatest common factor 420,435 is 15.
Lets's calculate LCM of 638,784
2 | 638, 784 |
319, 392 |
∴ So the LCM of the given numbers is 2 x 319 x 392 = 250096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/250096
Therefore, the GCF of Fractions 420/638,435/784 is 15/250096
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 638,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,784) x common factors =2 x 1 = 2
LCM(638,784) = ( 638 × 784 ) / 2
LCM(638,784) = 500192 / 2
LCM(638,784) = 250096
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 420/638, 435/784?
Answer: GCF of Numerators as per given numbers 420/638, 435/784 is
GCF of Numerators i.e. for 420,435 is 15
LCM of denominators i.e. for 638,784 is 250096.
Thus, GCF of Fractions is 15/250096.Finally, GCF of Fractions for 420/638, 435/784 is 15/250096.