Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/873,1744/5635
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 920,1744
Greatest Common Factor of Numerators i.e. GCF of 920,1744 is 8 .
LCM of Denominators means LCM of 873,5635 as per the given fractions.
LCM of 873,5635 is 4919355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,1744
2 | 920, 1744 |
2 | 460, 872 |
2 | 230, 436 |
115, 218 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 1744
List of positive integer factors of 1744 that divides 1744 without a remainder.
1,2,4,8,16,109,218,436,872,1744
Greatest Common Factor
We found the factors 920,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 920,1744 is 8.
Lets's calculate LCM of 873,5635
Given numbers has no common factors except 1. So, there LCM is their product i.e 4919355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4919355
Therefore, the GCF of Fractions 920/873,1744/5635 is 8/4919355
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 873,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,5635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,5635) x common factors =1 x 1 = 1
LCM(873,5635) = ( 873 × 5635 ) / 1
LCM(873,5635) = 4919355 / 1
LCM(873,5635) = 4919355
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 920/873, 1744/5635?
Answer: GCF of Numerators as per given numbers 920/873, 1744/5635 is
GCF of Numerators i.e. for 920,1744 is 8
LCM of denominators i.e. for 873,5635 is 4919355.
Thus, GCF of Fractions is 8/4919355.Finally, GCF of Fractions for 920/873, 1744/5635 is 8/4919355.