Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 260/631,542/973,967/426
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 260,542,967
Greatest Common Factor of Numerators i.e. GCF of 260,542,967 is 1 .
LCM of Denominators means LCM of 631,973,426 as per the given fractions.
LCM of 631,973,426 is 261548238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 260,542,967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Greatest Common Factor
We found the factors 260,542,967 . The biggest common factor number is the GCF number.
So the greatest common factor 260,542,967 is 1.
Lets's calculate LCM of 631,973,426
Given numbers has no common factors except 1. So, there LCM is their product i.e 261548238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261548238
Therefore, the GCF of Fractions 260/631,542/973,967/426 is 1/261548238
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 631,973,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,973,426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,973,426) x common factors =1 x 1 = 1
LCM(631,973,426) = ( 631 × 973 × 426 ) / 1
LCM(631,973,426) = 261548238 / 1
LCM(631,973,426) = 261548238
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 260/631, 542/973, 967/426?
Answer: GCF of Numerators as per given numbers 260/631, 542/973, 967/426 is
GCF of Numerators i.e. for 260,542,967 is 1
LCM of denominators i.e. for 631,973,426 is 261548238.
Thus, GCF of Fractions is 1/261548238.Finally, GCF of Fractions for 260/631, 542/973, 967/426 is 1/261548238.