Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1294/211,2834/9576
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 1294,2834
Greatest Common Factor of Numerators i.e. GCF of 1294,2834 is 2 .
LCM of Denominators means LCM of 211,9576 as per the given fractions.
LCM of 211,9576 is 2020536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1294,2834
2 | 1294, 2834 |
647, 1417 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1294
List of positive integer factors of 1294 that divides 1294 without a remainder.
1,2,647,1294
Factors of 2834
List of positive integer factors of 2834 that divides 2834 without a remainder.
1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 1294,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 1294,2834 is 2.
Lets's calculate LCM of 211,9576
Given numbers has no common factors except 1. So, there LCM is their product i.e 2020536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2020536
Therefore, the GCF of Fractions 1294/211,2834/9576 is 2/2020536
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 211,9576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,9576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,9576) x common factors =1 x 1 = 1
LCM(211,9576) = ( 211 × 9576 ) / 1
LCM(211,9576) = 2020536 / 1
LCM(211,9576) = 2020536
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 1294/211, 2834/9576?
Answer: GCF of Numerators as per given numbers 1294/211, 2834/9576 is
GCF of Numerators i.e. for 1294,2834 is 2
LCM of denominators i.e. for 211,9576 is 2020536.
Thus, GCF of Fractions is 2/2020536.Finally, GCF of Fractions for 1294/211, 2834/9576 is 2/2020536.