Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4542/42,5888/533
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 4542,5888
Greatest Common Factor of Numerators i.e. GCF of 4542,5888 is 2 .
LCM of Denominators means LCM of 42,533 as per the given fractions.
LCM of 42,533 is 22386 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4542,5888
2 | 4542, 5888 |
2271, 2944 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4542
List of positive integer factors of 4542 that divides 4542 without a remainder.
1,2,3,6,757,1514,2271,4542
Factors of 5888
List of positive integer factors of 5888 that divides 5888 without a remainder.
1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888
Greatest Common Factor
We found the factors 4542,5888 . The biggest common factor number is the GCF number.
So the greatest common factor 4542,5888 is 2.
Lets's calculate LCM of 42,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 22386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22386
Therefore, the GCF of Fractions 4542/42,5888/533 is 2/22386
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 42,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,533) x common factors =1 x 1 = 1
LCM(42,533) = ( 42 × 533 ) / 1
LCM(42,533) = 22386 / 1
LCM(42,533) = 22386
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 4542/42, 5888/533?
Answer: GCF of Numerators as per given numbers 4542/42, 5888/533 is
GCF of Numerators i.e. for 4542,5888 is 2
LCM of denominators i.e. for 42,533 is 22386.
Thus, GCF of Fractions is 2/22386.Finally, GCF of Fractions for 4542/42, 5888/533 is 2/22386.