Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/346,1260/563
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 934,1260
Greatest Common Factor of Numerators i.e. GCF of 934,1260 is 2 .
LCM of Denominators means LCM of 346,563 as per the given fractions.
LCM of 346,563 is 194798 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,1260
2 | 934, 1260 |
467, 630 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 1260
List of positive integer factors of 1260 that divides 1260 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors 934,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 934,1260 is 2.
Lets's calculate LCM of 346,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 194798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194798
Therefore, the GCF of Fractions 934/346,1260/563 is 2/194798
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 346,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,563) x common factors =1 x 1 = 1
LCM(346,563) = ( 346 × 563 ) / 1
LCM(346,563) = 194798 / 1
LCM(346,563) = 194798
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 934/346, 1260/563?
Answer: GCF of Numerators as per given numbers 934/346, 1260/563 is
GCF of Numerators i.e. for 934,1260 is 2
LCM of denominators i.e. for 346,563 is 194798.
Thus, GCF of Fractions is 2/194798.Finally, GCF of Fractions for 934/346, 1260/563 is 2/194798.