Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5566/614,5607/7181
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 5566,5607
Greatest Common Factor of Numerators i.e. GCF of 5566,5607 is 1 .
LCM of Denominators means LCM of 614,7181 as per the given fractions.
LCM of 614,7181 is 4409134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5566,5607
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5566
List of positive integer factors of 5566 that divides 5566 without a remainder.
1,2,11,22,23,46,121,242,253,506,2783,5566
Factors of 5607
List of positive integer factors of 5607 that divides 5607 without a remainder.
1,3,7,9,21,63,89,267,623,801,1869,5607
Greatest Common Factor
We found the factors 5566,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 5566,5607 is 1.
Lets's calculate LCM of 614,7181
Given numbers has no common factors except 1. So, there LCM is their product i.e 4409134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4409134
Therefore, the GCF of Fractions 5566/614,5607/7181 is 1/4409134
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 614,7181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,7181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,7181) x common factors =1 x 1 = 1
LCM(614,7181) = ( 614 × 7181 ) / 1
LCM(614,7181) = 4409134 / 1
LCM(614,7181) = 4409134
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 5566/614, 5607/7181?
Answer: GCF of Numerators as per given numbers 5566/614, 5607/7181 is
GCF of Numerators i.e. for 5566,5607 is 1
LCM of denominators i.e. for 614,7181 is 4409134.
Thus, GCF of Fractions is 1/4409134.Finally, GCF of Fractions for 5566/614, 5607/7181 is 1/4409134.