Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3340/561,5545/7559
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 3340,5545
Greatest Common Factor of Numerators i.e. GCF of 3340,5545 is 5 .
LCM of Denominators means LCM of 561,7559 as per the given fractions.
LCM of 561,7559 is 4240599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3340,5545
5 | 3340, 5545 |
668, 1109 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3340
List of positive integer factors of 3340 that divides 3340 without a remainder.
1,2,4,5,10,20,167,334,668,835,1670,3340
Factors of 5545
List of positive integer factors of 5545 that divides 5545 without a remainder.
1,5,1109,5545
Greatest Common Factor
We found the factors 3340,5545 . The biggest common factor number is the GCF number.
So the greatest common factor 3340,5545 is 5.
Lets's calculate LCM of 561,7559
Given numbers has no common factors except 1. So, there LCM is their product i.e 4240599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4240599
Therefore, the GCF of Fractions 3340/561,5545/7559 is 5/4240599
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 561,7559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,7559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,7559) x common factors =1 x 1 = 1
LCM(561,7559) = ( 561 × 7559 ) / 1
LCM(561,7559) = 4240599 / 1
LCM(561,7559) = 4240599
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 3340/561, 5545/7559?
Answer: GCF of Numerators as per given numbers 3340/561, 5545/7559 is
GCF of Numerators i.e. for 3340,5545 is 5
LCM of denominators i.e. for 561,7559 is 4240599.
Thus, GCF of Fractions is 5/4240599.Finally, GCF of Fractions for 3340/561, 5545/7559 is 5/4240599.