Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1349/845,4600/554
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 1349,4600
Greatest Common Factor of Numerators i.e. GCF of 1349,4600 is 1 .
LCM of Denominators means LCM of 845,554 as per the given fractions.
LCM of 845,554 is 468130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1349,4600
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1349
List of positive integer factors of 1349 that divides 1349 without a remainder.
1,19,71,1349
Factors of 4600
List of positive integer factors of 4600 that divides 4600 without a remainder.
1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600
Greatest Common Factor
We found the factors 1349,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 1349,4600 is 1.
Lets's calculate LCM of 845,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 468130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/468130
Therefore, the GCF of Fractions 1349/845,4600/554 is 1/468130
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 845,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,554) x common factors =1 x 1 = 1
LCM(845,554) = ( 845 × 554 ) / 1
LCM(845,554) = 468130 / 1
LCM(845,554) = 468130
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 1349/845, 4600/554?
Answer: GCF of Numerators as per given numbers 1349/845, 4600/554 is
GCF of Numerators i.e. for 1349,4600 is 1
LCM of denominators i.e. for 845,554 is 468130.
Thus, GCF of Fractions is 1/468130.Finally, GCF of Fractions for 1349/845, 4600/554 is 1/468130.