Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5882/772,9710/7266
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 5882,9710
Greatest Common Factor of Numerators i.e. GCF of 5882,9710 is 2 .
LCM of Denominators means LCM of 772,7266 as per the given fractions.
LCM of 772,7266 is 2804676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5882,9710
2 | 5882, 9710 |
2941, 4855 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5882
List of positive integer factors of 5882 that divides 5882 without a remainder.
1,2,17,34,173,346,2941,5882
Factors of 9710
List of positive integer factors of 9710 that divides 9710 without a remainder.
1,2,5,10,971,1942,4855,9710
Greatest Common Factor
We found the factors 5882,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 5882,9710 is 2.
Lets's calculate LCM of 772,7266
2 | 772, 7266 |
386, 3633 |
∴ So the LCM of the given numbers is 2 x 386 x 3633 = 2804676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2804676
Therefore, the GCF of Fractions 5882/772,9710/7266 is 2/2804676
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 772,7266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,7266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,7266) x common factors =2 x 1 = 2
LCM(772,7266) = ( 772 × 7266 ) / 2
LCM(772,7266) = 5609352 / 2
LCM(772,7266) = 2804676
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 5882/772, 9710/7266?
Answer: GCF of Numerators as per given numbers 5882/772, 9710/7266 is
GCF of Numerators i.e. for 5882,9710 is 2
LCM of denominators i.e. for 772,7266 is 2804676.
Thus, GCF of Fractions is 2/2804676.Finally, GCF of Fractions for 5882/772, 9710/7266 is 2/2804676.