Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 260/211,378/649
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 260,378
Greatest Common Factor of Numerators i.e. GCF of 260,378 is 2 .
LCM of Denominators means LCM of 211,649 as per the given fractions.
LCM of 211,649 is 136939 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 260,378
2 | 260, 378 |
130, 189 |
∴ So the GCF of the given numbers is 2 = 2
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 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 260,378 . The biggest common factor number is the GCF number.
So the greatest common factor 260,378 is 2.
Lets's calculate LCM of 211,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 136939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136939
Therefore, the GCF of Fractions 260/211,378/649 is 2/136939
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 211,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,649) x common factors =1 x 1 = 1
LCM(211,649) = ( 211 × 649 ) / 1
LCM(211,649) = 136939 / 1
LCM(211,649) = 136939
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 260/211, 378/649?
Answer: GCF of Numerators as per given numbers 260/211, 378/649 is
GCF of Numerators i.e. for 260,378 is 2
LCM of denominators i.e. for 211,649 is 136939.
Thus, GCF of Fractions is 2/136939.Finally, GCF of Fractions for 260/211, 378/649 is 2/136939.