Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/553,442/806
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 139,442
Greatest Common Factor of Numerators i.e. GCF of 139,442 is 1 .
LCM of Denominators means LCM of 553,806 as per the given fractions.
LCM of 553,806 is 445718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 139,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 139,442 . The biggest common factor number is the GCF number.
So the greatest common factor 139,442 is 1.
Lets's calculate LCM of 553,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 445718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445718
Therefore, the GCF of Fractions 139/553,442/806 is 1/445718
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 553,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,806) x common factors =1 x 1 = 1
LCM(553,806) = ( 553 × 806 ) / 1
LCM(553,806) = 445718 / 1
LCM(553,806) = 445718
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 139/553, 442/806?
Answer: GCF of Numerators as per given numbers 139/553, 442/806 is
GCF of Numerators i.e. for 139,442 is 1
LCM of denominators i.e. for 553,806 is 445718.
Thus, GCF of Fractions is 1/445718.Finally, GCF of Fractions for 139/553, 442/806 is 1/445718.